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Probability PPT.pptx CLASS 10 CLASS 10 PROBABILITY
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- 2. Generally in ourdaily life we have 3 types of situations 1. Certainly happen 2. Impossible 3. Happen but not confirm (may or may not)
- 4. Impossible Certain Even Chance UnlikelyLikely 1.The sun will rise tomorrow. 2.You will live to be 500. 3.You spin a coin and get a head. 4.You will see a bus on your way home. 5.You will see an ambulance on your way home.
- 5. Probability is thestudy of chances, i.e.
- 6. Theory of probability is Contributionof Mathematicians James Bernoulli (1654-1705), A.de.Moivre(1667-1754) Pierre simon laplace(1749-1827)
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- 8. Experiment Experiment means anoperation which can produce some well defined outcomes Example : Results knowing early before doing experiments in Laboratory
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- 10. Examples: 1. Tossing acoin 2. Throwing a dice 3. Pick out a card from a well shuffled deck of playing cards 4. Taking a ball from group of balls 5. Choosing a number from spinning an arrow
- 11. The outcomes ofan experiment are the ways it can happen. The event is the particular outcome you are looking for. 6 10 2 52
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- 13. Elementary event If arandom experiment is performed, then each outcome is known as elementary event
- 14. Sure Event: Thoseevents whose probability is one. Example : The probability of getting a white ball from a group of white balls. Impossible Event: Those events whose probability is zero. Example : The probability of getting a number greater than 6, when a die is thrown once, is an impossible event, as the highest number in a die is 6. Types of Events
- 15. Favorable event The caseswhich ensure the occurrence of an event are called favorable cases to that event
- 16. The Probability ofan Event is P(Event) = Number of trails in which the event happened Total number of trails (OR) P(Event) = Number of outcomes favorable to Event Number of all possible outcomes
- 17. Complimentary events The eventĒ, representing not E is called compliment of the event E P(Ē) = 1-P(E)
- 18. Probability of tossinga coin
- 19. Probability of Head= ½ Probability of Tail = ½
- 20. ? All possible outcomesof Two coins
- 21. H H TT H T T H
- 22. Probability (Two heads)= ¼ Probability (Two tails) = ¼ Probability (one tail and one head) =2/4 = 1/2
- 23. 3 Coins tossedat a time
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- 27. 2 Dice thrownat once
- 28. 1,1 1,2 1,31,4 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
- 29. Probability (same number)= 6/36 Probability (Sum is 8) = 5/36 Probability (product is 100) = 0/36
- 30. Probability of playingcards Heart Diamond Spade Club
- 32. 52 Playing Cardsin a pack 4 Suits (Clubs, Spades, Diamonds and Hearts) 13 cards in each suit (A,2,3,4,5,6,7,8,9,10,J,K,Q) A regular dice has the numbers 1,2,3,4,5&6
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- 35. Total face cards= 12 Black face cards = 6 Red face cards = 6
- 36. P(Face cards) =12/52 P(Black/Red face cards) = 6/52 P(Jack/King/Queen) = 4/52 P(Diamond/heart/spade/club) = 13/52 P(Black/Red cards) = 26/52
- 37. B A B A A B 1 4 1 2 3 5 2 5 1 4 Try these… a) b) P(red)P(blue) P(yellow or blue) 1 5
- 41. Answer is Anynumber less than 1 or greater than 6.
- 43. Answer is White,because there are more white marbles than any other colour.
- 44. Can you tellme what the probability is as a fraction? 1. What is the probability of rolling a 4 with a dice? 2. What is the probability of rolling an odd number with a dice? 3. A bag contains 7 buttons. 3 of them are green. What is the probability of picking a green button from the bag? 4. A bag contains 3 red and 5 green marbles. What is the probability of picking a red.
- 45. Can you tellme what the probability is as a fraction? 1. What is the probability of rolling a 4 with a dice? – 1/6 2. What is the probability of rolling an odd number with a dice? – 3/6 or 1/2 3. A bag contains 7 buttons. 3 of them are green. What is the probability of picking a green button from the bag? – 3/7 4. A bag contains 3 red and 5 green marbles. What is the probability of picking a red. – 3/8
- 46. Can you tellme what the probability is? 1. What is the probability, as a decimal, of getting 'heads' when you toss a coin? 2. Something that has an even chance of happening has a probability of what percentage? 3. A bag contains just 5 buttons, all of which are blue. What is the probability of picking a red button from the bag? 4. A bag contains 4 white buttons. How many black buttons must be added so there is an even chance of picking a white button?
- 47. 1. What isthe probability, as a decimal, of getting 'heads' when you toss a coin? 0.5 2. Something that has an even chance of happening has a probability of what percentage? 50% 3. A bag contains just 5 buttons, all of which are blue. What is the probability of picking a red button from the bag? 0 4. A bag contains 4 white buttons. How many black buttons must be added so there is an even chance of picking a white button? 4 Can you tell me what the probability is?
- 48. Write whether eachevent is certain, likely, unlikely, or impossible. 1. The probability of tossing a 7on a standard six-sided die. 2. A glass jar contains 13 red marbles. Describe the probability of picking a red marble. 3. A glass jar contains 30 marbles. The jar has purple and red marbles. There are 4 red marbles. a)Find the probability of picking a purple marble. b) Find the probability of picking a red marble.
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- 51. Prepared By M.Sreenivasa Rao TGT(MATHS) JNVBanavasi, Kurnool(Dt.) A.P