The document defines key probability terms:
- Probability is the chance of an event occurring
- The sample space includes all possible outcomes
- Equally likely events have the same chance of occurring
- Mutually exclusive events cannot both occur simultaneously
- Non-mutually exclusive events can occur together
It also provides examples of calculating probabilities of dice rolls.
PROBABILITY FOR MIDDLE SCHOOL
Topics :
• The probability that an outcome does not happen
• Equally likely outcomes
• Listing all possible outcomes
• Experimental and theoretical probabilities
//&//
Probability - Question Bank for Class/Grade 10 maths.Let's Tute
Probability - Question Bank for Class/Grade 10 maths.
Watch videos on our youtube channel -
www.youtube.com/letstute.
And find related study material on our website -
www.letstute.com.
The first of two workshops I've created for children in my class about probability. This is used as a rotation activity after I have done some teaching on it first.
PROBABILITY FOR MIDDLE SCHOOL
Topics :
• The probability that an outcome does not happen
• Equally likely outcomes
• Listing all possible outcomes
• Experimental and theoretical probabilities
//&//
Probability - Question Bank for Class/Grade 10 maths.Let's Tute
Probability - Question Bank for Class/Grade 10 maths.
Watch videos on our youtube channel -
www.youtube.com/letstute.
And find related study material on our website -
www.letstute.com.
The first of two workshops I've created for children in my class about probability. This is used as a rotation activity after I have done some teaching on it first.
#TheProbabilityLifeSaver...
I am planning a picnic today, but the morning is cloudy. Oh no! 50% of all rainy days start off cloudy!
What is the probability/chance of rain during the day?
Shall I go for Picnic or not!
Also, I am too much crazy for fruit salad. "My fruit salad is a combination of apples, grapes and bananas" I don't care what order the fruits are in, they could also be "bananas, grapes and apples" or "grapes, apples and bananas", it’s the same fruit salad. #Combination
We daily use probability concepts in our routine life. But we can’t think it is Statistics. just think little bit about statistics if we apply each & every statistical concepts in everyday life then what will happen...
#ApnaSapnaMoneyMoney #BreadButterHoney or Something more than this
#CuriosityRight
In this PPT you will see Probability & its importance
#RealLifeApplications Concept of events.
#Probability Rules #Events
#Conditional Probability
#Bayes’ Theorem
#Permutation and Combination
#HowToCalculateProbability #DecisionMaking #PictorialView
#MakeFunWithProbExamples #Statistics #YogitaKolekar
#TheProbabilityLifeSaver...
I am planning a picnic today, but the morning is cloudy. Oh no! 50% of all rainy days start off cloudy!
What is the probability/chance of rain during the day?
Shall I go for Picnic or not!
Also, I am too much crazy for fruit salad. "My fruit salad is a combination of apples, grapes and bananas" I don't care what order the fruits are in, they could also be "bananas, grapes and apples" or "grapes, apples and bananas", it’s the same fruit salad. #Combination
We daily use probability concepts in our routine life. But we can’t think it is Statistics. just think little bit about statistics if we apply each & every statistical concepts in everyday life then what will happen...
#ApnaSapnaMoneyMoney #BreadButterHoney or Something more than this
#CuriosityRight
In this PPT you will see Probability & its importance
#RealLifeApplications Concept of events.
#Probability Rules #Events
#Conditional Probability
#Bayes’ Theorem
#Permutation and Combination
#HowToCalculateProbability #DecisionMaking #PictorialView
#MakeFunWithProbExamples #Statistics #YogitaKolekar
Acetabularia Information For Class 9 .docxvaibhavrinwa19
Acetabularia acetabulum is a single-celled green alga that in its vegetative state is morphologically differentiated into a basal rhizoid and an axially elongated stalk, which bears whorls of branching hairs. The single diploid nucleus resides in the rhizoid.
Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...Dr. Vinod Kumar Kanvaria
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By Dr. Vinod Kumar Kanvaria
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Let’s explore the intersection of technology and equity in the final session of our DEI series. Discover how AI tools, like ChatGPT, can be used to support and enhance your nonprofit's DEI initiatives. Participants will gain insights into practical AI applications and get tips for leveraging technology to advance their DEI goals.
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For more detailed information on delivering micro-credentials in TVET, visit this https://tvettrainer.com/delivering-micro-credentials-in-tvet/
A review of the growth of the Israel Genealogy Research Association Database Collection for the last 12 months. Our collection is now passed the 3 million mark and still growing. See which archives have contributed the most. See the different types of records we have, and which years have had records added. You can also see what we have for the future.
Read| The latest issue of The Challenger is here! We are thrilled to announce that our school paper has qualified for the NATIONAL SCHOOLS PRESS CONFERENCE (NSPC) 2024. Thank you for your unwavering support and trust. Dive into the stories that made us stand out!
2024.06.01 Introducing a competency framework for languag learning materials ...Sandy Millin
http://sandymillin.wordpress.com/iateflwebinar2024
Published classroom materials form the basis of syllabuses, drive teacher professional development, and have a potentially huge influence on learners, teachers and education systems. All teachers also create their own materials, whether a few sentences on a blackboard, a highly-structured fully-realised online course, or anything in between. Despite this, the knowledge and skills needed to create effective language learning materials are rarely part of teacher training, and are mostly learnt by trial and error.
Knowledge and skills frameworks, generally called competency frameworks, for ELT teachers, trainers and managers have existed for a few years now. However, until I created one for my MA dissertation, there wasn’t one drawing together what we need to know and do to be able to effectively produce language learning materials.
This webinar will introduce you to my framework, highlighting the key competencies I identified from my research. It will also show how anybody involved in language teaching (any language, not just English!), teacher training, managing schools or developing language learning materials can benefit from using the framework.
Biological screening of herbal drugs: Introduction and Need for
Phyto-Pharmacological Screening, New Strategies for evaluating
Natural Products, In vitro evaluation techniques for Antioxidants, Antimicrobial and Anticancer drugs. In vivo evaluation techniques
for Anti-inflammatory, Antiulcer, Anticancer, Wound healing, Antidiabetic, Hepatoprotective, Cardio protective, Diuretics and
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4. Probability Definitions Probability: the chance of something happening Sample Space: all possible outcomes Equally Likely Events: events which have an equal chance of happening
5. Probability Definitions Probability: the chance of something happening Sample Space: all possible outcomes Equally Likely Events: events which have an equal chance of happening Mutually Exclusive Events: only one possible outcome can occur at any one time.
6. Probability Definitions Probability: the chance of something happening Sample Space: all possible outcomes Equally Likely Events: events which have an equal chance of happening Mutually Exclusive Events: only one possible outcome can occur at any one time. e.g. a coin can be either a head or a tail, not both
7. Probability Definitions Probability: the chance of something happening Sample Space: all possible outcomes Equally Likely Events: events which have an equal chance of happening Mutually Exclusive Events: only one possible outcome can occur at any one time. e.g. a coin can be either a head or a tail, not both Non-Mutually Exclusive Events: more than one outcome could possibly happen at any one time
8. Probability Definitions Probability: the chance of something happening Sample Space: all possible outcomes Equally Likely Events: events which have an equal chance of happening Mutually Exclusive Events: only one possible outcome can occur at any one time. e.g. a coin can be either a head or a tail, not both Non-Mutually Exclusive Events: more than one outcome could possibly happen at any one time e.g. a number could be both even and a multiple of three
9. Probability Definitions Probability: the chance of something happening Sample Space: all possible outcomes Equally Likely Events: events which have an equal chance of happening Mutually Exclusive Events: only one possible outcome can occur at any one time. e.g. a coin can be either a head or a tail, not both Non-Mutually Exclusive Events: more than one outcome could possibly happen at any one time e.g. a number could be both even and a multiple of three
10. Probability Definitions Probability: the chance of something happening Sample Space: all possible outcomes Equally Likely Events: events which have an equal chance of happening Mutually Exclusive Events: only one possible outcome can occur at any one time. e.g. a coin can be either a head or a tail, not both Non-Mutually Exclusive Events: more than one outcome could possibly happen at any one time e.g. a number could be both even and a multiple of three
18. Probability Theory P(E)=0: E never happens P(E)=1: a certain event. E must happen e.g. A pair of dice are thrown. What is the probability that they; ( i ) total 3? ( ii ) total 7?
19. Probability Theory P(E)=0: E never happens P(E)=1: a certain event. E must happen e.g. A pair of dice are thrown. What is the probability that they; ( i ) total 3? ( ii ) total 7? 1 1 1 2 1 3 1 4 1 5 1 6 2 1 2 2 2 3 2 4 2 5 2 6 3 1 3 2 3 3 3 4 3 5 3 6 4 1 4 2 4 3 4 4 4 5 4 6 5 1 5 2 5 3 5 4 5 5 5 6 6 1 6 2 6 3 6 4 6 5 6 6
20. Probability Theory P(E)=0: E never happens P(E)=1: a certain event. E must happen e.g. A pair of dice are thrown. What is the probability that they; ( i ) total 3? ( ii ) total 7? 1 1 1 2 1 3 1 4 1 5 1 6 2 1 2 2 2 3 2 4 2 5 2 6 3 1 3 2 3 3 3 4 3 5 3 6 4 1 4 2 4 3 4 4 4 5 4 6 5 1 5 2 5 3 5 4 5 5 5 6 6 1 6 2 6 3 6 4 6 5 6 6
21. Probability Theory P(E)=0: E never happens P(E)=1: a certain event. E must happen e.g. A pair of dice are thrown. What is the probability that they; ( i ) total 3? ( ii ) total 7? 1 1 1 2 1 3 1 4 1 5 1 6 2 1 2 2 2 3 2 4 2 5 2 6 3 1 3 2 3 3 3 4 3 5 3 6 4 1 4 2 4 3 4 4 4 5 4 6 5 1 5 2 5 3 5 4 5 5 5 6 6 1 6 2 6 3 6 4 6 5 6 6
22. Probability Theory P(E)=0: E never happens P(E)=1: a certain event. E must happen e.g. A pair of dice are thrown. What is the probability that they; ( i ) total 3? ( ii ) total 7? 1 1 1 2 1 3 1 4 1 5 1 6 2 1 2 2 2 3 2 4 2 5 2 6 3 1 3 2 3 3 3 4 3 5 3 6 4 1 4 2 4 3 4 4 4 5 4 6 5 1 5 2 5 3 5 4 5 5 5 6 6 1 6 2 6 3 6 4 6 5 6 6
23. Probability Theory P(E)=0: E never happens P(E)=1: a certain event. E must happen e.g. A pair of dice are thrown. What is the probability that they; ( i ) total 3? ( ii ) total 7? 1 1 1 2 1 3 1 4 1 5 1 6 2 1 2 2 2 3 2 4 2 5 2 6 3 1 3 2 3 3 3 4 3 5 3 6 4 1 4 2 4 3 4 4 4 5 4 6 5 1 5 2 5 3 5 4 5 5 5 6 6 1 6 2 6 3 6 4 6 5 6 6
24. Probability Theory P(E)=0: E never happens P(E)=1: a certain event. E must happen e.g. A pair of dice are thrown. What is the probability that they; ( i ) total 3? ( ii ) total 7? 1 1 1 2 1 3 1 4 1 5 1 6 2 1 2 2 2 3 2 4 2 5 2 6 3 1 3 2 3 3 3 4 3 5 3 6 4 1 4 2 4 3 4 4 4 5 4 6 5 1 5 2 5 3 5 4 5 5 5 6 6 1 6 2 6 3 6 4 6 5 6 6
25. Probability Theory P(E)=0: E never happens P(E)=1: a certain event. E must happen e.g. A pair of dice are thrown. What is the probability that they; ( i ) total 3? ( ii ) total 7? 1 1 1 2 1 3 1 4 1 5 1 6 2 1 2 2 2 3 2 4 2 5 2 6 3 1 3 2 3 3 3 4 3 5 3 6 4 1 4 2 4 3 4 4 4 5 4 6 5 1 5 2 5 3 5 4 5 5 5 6 6 1 6 2 6 3 6 4 6 5 6 6
34. Non-Mutually Exclusive Events e.g. What is the chance of picking an Ace or a heart from a regular deck of playing cards?
35. Non-Mutually Exclusive Events e.g. What is the chance of picking an Ace or a heart from a regular deck of playing cards?
36. Non-Mutually Exclusive Events e.g. What is the chance of picking an Ace or a heart from a regular deck of playing cards?
37. Non-Mutually Exclusive Events e.g. What is the chance of picking an Ace or a heart from a regular deck of playing cards?
38. In a game, a turn involves rolling two dice, each with faces marked 0, 1, 2, 3, 4 and 5. The score for each turn is calculated by multiplying the two numbers uppermost on the dice. 2004 Mathematics HSC Q6c)
39. In a game, a turn involves rolling two dice, each with faces marked 0, 1, 2, 3, 4 and 5. The score for each turn is calculated by multiplying the two numbers uppermost on the dice. 2004 Mathematics HSC Q6c) 0 X 0 = 0 0 X 1 = 0 0 X 2 = 0 0 X 3 = 0 0 X 4 = 0 0 X 5 = 0 1 X 0 = 0 1 X 1 = 1 1 X 2 = 2 1 X 3 = 3 1 X 4 = 4 1 X 5 = 5 2 X 0 = 0 2 X 1 = 2 2 X 2 = 4 2 X 3 = 6 2 X 4 = 8 2 X 5 = 10 3 X 0 = 0 3 X 1 = 3 3 X 2 = 6 3 X 3 = 9 3 X 4 = 12 3 X 5 = 15 4 X 0 = 0 4 X 1 = 4 4 X 2 = 8 4 X 3 = 12 4 X 4 = 16 4 X 5 = 20 5 X 0 = 0 5 X 1 = 5 5 X 2 = 10 5 X 3 = 15 5 X 4 = 20 5 X 5 = 25
40. In a game, a turn involves rolling two dice, each with faces marked 0, 1, 2, 3, 4 and 5. The score for each turn is calculated by multiplying the two numbers uppermost on the dice. 2004 Mathematics HSC Q6c) (i) What is the probability of scoring zero on the first turn? 0 X 0 = 0 0 X 1 = 0 0 X 2 = 0 0 X 3 = 0 0 X 4 = 0 0 X 5 = 0 1 X 0 = 0 1 X 1 = 1 1 X 2 = 2 1 X 3 = 3 1 X 4 = 4 1 X 5 = 5 2 X 0 = 0 2 X 1 = 2 2 X 2 = 4 2 X 3 = 6 2 X 4 = 8 2 X 5 = 10 3 X 0 = 0 3 X 1 = 3 3 X 2 = 6 3 X 3 = 9 3 X 4 = 12 3 X 5 = 15 4 X 0 = 0 4 X 1 = 4 4 X 2 = 8 4 X 3 = 12 4 X 4 = 16 4 X 5 = 20 5 X 0 = 0 5 X 1 = 5 5 X 2 = 10 5 X 3 = 15 5 X 4 = 20 5 X 5 = 25
41. In a game, a turn involves rolling two dice, each with faces marked 0, 1, 2, 3, 4 and 5. The score for each turn is calculated by multiplying the two numbers uppermost on the dice. 2004 Mathematics HSC Q6c) 0 X 0 = 0 0 X 1 = 0 0 X 2 = 0 0 X 3 = 0 0 X 4 = 0 0 X 5 = 0 1 X 0 = 0 1 X 1 = 1 1 X 2 = 2 1 X 3 = 3 1 X 4 = 4 1 X 5 = 5 2 X 0 = 0 2 X 1 = 2 2 X 2 = 4 2 X 3 = 6 2 X 4 = 8 2 X 5 = 10 3 X 0 = 0 3 X 1 = 3 3 X 2 = 6 3 X 3 = 9 3 X 4 = 12 3 X 5 = 15 4 X 0 = 0 4 X 1 = 4 4 X 2 = 8 4 X 3 = 12 4 X 4 = 16 4 X 5 = 20 5 X 0 = 0 5 X 1 = 5 5 X 2 = 10 5 X 3 = 15 5 X 4 = 20 5 X 5 = 25 (i) What is the probability of scoring zero on the first turn?
42. In a game, a turn involves rolling two dice, each with faces marked 0, 1, 2, 3, 4 and 5. The score for each turn is calculated by multiplying the two numbers uppermost on the dice. 2004 Mathematics HSC Q6c) 0 X 0 = 0 0 X 1 = 0 0 X 2 = 0 0 X 3 = 0 0 X 4 = 0 0 X 5 = 0 1 X 0 = 0 1 X 1 = 1 1 X 2 = 2 1 X 3 = 3 1 X 4 = 4 1 X 5 = 5 2 X 0 = 0 2 X 1 = 2 2 X 2 = 4 2 X 3 = 6 2 X 4 = 8 2 X 5 = 10 3 X 0 = 0 3 X 1 = 3 3 X 2 = 6 3 X 3 = 9 3 X 4 = 12 3 X 5 = 15 4 X 0 = 0 4 X 1 = 4 4 X 2 = 8 4 X 3 = 12 4 X 4 = 16 4 X 5 = 20 5 X 0 = 0 5 X 1 = 5 5 X 2 = 10 5 X 3 = 15 5 X 4 = 20 5 X 5 = 25 (i) What is the probability of scoring zero on the first turn?
43. In a game, a turn involves rolling two dice, each with faces marked 0, 1, 2, 3, 4 and 5. The score for each turn is calculated by multiplying the two numbers uppermost on the dice. 2004 Mathematics HSC Q6c) 0 X 0 = 0 0 X 1 = 0 0 X 2 = 0 0 X 3 = 0 0 X 4 = 0 0 X 5 = 0 1 X 0 = 0 1 X 1 = 1 1 X 2 = 2 1 X 3 = 3 1 X 4 = 4 1 X 5 = 5 2 X 0 = 0 2 X 1 = 2 2 X 2 = 4 2 X 3 = 6 2 X 4 = 8 2 X 5 = 10 3 X 0 = 0 3 X 1 = 3 3 X 2 = 6 3 X 3 = 9 3 X 4 = 12 3 X 5 = 15 4 X 0 = 0 4 X 1 = 4 4 X 2 = 8 4 X 3 = 12 4 X 4 = 16 4 X 5 = 20 5 X 0 = 0 5 X 1 = 5 5 X 2 = 10 5 X 3 = 15 5 X 4 = 20 5 X 5 = 25 (i) What is the probability of scoring zero on the first turn? (ii) What is the probability of scoring 16 or more on the first turn?
44. In a game, a turn involves rolling two dice, each with faces marked 0, 1, 2, 3, 4 and 5. The score for each turn is calculated by multiplying the two numbers uppermost on the dice. 2004 Mathematics HSC Q6c) 0 X 0 = 0 0 X 1 = 0 0 X 2 = 0 0 X 3 = 0 0 X 4 = 0 0 X 5 = 0 1 X 0 = 0 1 X 1 = 1 1 X 2 = 2 1 X 3 = 3 1 X 4 = 4 1 X 5 = 5 2 X 0 = 0 2 X 1 = 2 2 X 2 = 4 2 X 3 = 6 2 X 4 = 8 2 X 5 = 10 3 X 0 = 0 3 X 1 = 3 3 X 2 = 6 3 X 3 = 9 3 X 4 = 12 3 X 5 = 15 4 X 0 = 0 4 X 1 = 4 4 X 2 = 8 4 X 3 = 12 4 X 4 = 16 4 X 5 = 20 5 X 0 = 0 5 X 1 = 5 5 X 2 = 10 5 X 3 = 15 5 X 4 = 20 5 X 5 = 25 (i) What is the probability of scoring zero on the first turn? (ii) What is the probability of scoring 16 or more on the first turn?
45. In a game, a turn involves rolling two dice, each with faces marked 0, 1, 2, 3, 4 and 5. The score for each turn is calculated by multiplying the two numbers uppermost on the dice. 2004 Mathematics HSC Q6c) 0 X 0 = 0 0 X 1 = 0 0 X 2 = 0 0 X 3 = 0 0 X 4 = 0 0 X 5 = 0 1 X 0 = 0 1 X 1 = 1 1 X 2 = 2 1 X 3 = 3 1 X 4 = 4 1 X 5 = 5 2 X 0 = 0 2 X 1 = 2 2 X 2 = 4 2 X 3 = 6 2 X 4 = 8 2 X 5 = 10 3 X 0 = 0 3 X 1 = 3 3 X 2 = 6 3 X 3 = 9 3 X 4 = 12 3 X 5 = 15 4 X 0 = 0 4 X 1 = 4 4 X 2 = 8 4 X 3 = 12 4 X 4 = 16 4 X 5 = 20 5 X 0 = 0 5 X 1 = 5 5 X 2 = 10 5 X 3 = 15 5 X 4 = 20 5 X 5 = 25 (i) What is the probability of scoring zero on the first turn? (ii) What is the probability of scoring 16 or more on the first turn?
46. In a game, a turn involves rolling two dice, each with faces marked 0, 1, 2, 3, 4 and 5. The score for each turn is calculated by multiplying the two numbers uppermost on the dice. 2004 Mathematics HSC Q6c) 0 X 0 = 0 0 X 1 = 0 0 X 2 = 0 0 X 3 = 0 0 X 4 = 0 0 X 5 = 0 1 X 0 = 0 1 X 1 = 1 1 X 2 = 2 1 X 3 = 3 1 X 4 = 4 1 X 5 = 5 2 X 0 = 0 2 X 1 = 2 2 X 2 = 4 2 X 3 = 6 2 X 4 = 8 2 X 5 = 10 3 X 0 = 0 3 X 1 = 3 3 X 2 = 6 3 X 3 = 9 3 X 4 = 12 3 X 5 = 15 4 X 0 = 0 4 X 1 = 4 4 X 2 = 8 4 X 3 = 12 4 X 4 = 16 4 X 5 = 20 5 X 0 = 0 5 X 1 = 5 5 X 2 = 10 5 X 3 = 15 5 X 4 = 20 5 X 5 = 25 (i) What is the probability of scoring zero on the first turn? (ii) What is the probability of scoring 16 or more on the first turn?
47. (iii) What is the probability that the sum of the scores in the first two turns is less than 45?
48. (iii) What is the probability that the sum of the scores in the first two turns is less than 45?
49. (iii) What is the probability that the sum of the scores in the first two turns is less than 45?
50. (iii) What is the probability that the sum of the scores in the first two turns is less than 45?
51. (iii) What is the probability that the sum of the scores in the first two turns is less than 45?
52. (iii) What is the probability that the sum of the scores in the first two turns is less than 45? Exercise 10A; odd Exercise 10B; odd Exercise 10C; odd (not 23)