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 Slide 3: What is probability?
 Slide 4: Mini Lesson: What Probability Can Be
 Slide 5: Demonstrative Situation
 Slide 6: Demonstrative Situation: Question 1
 Slide 9: Mini Lesson: Finding the # of Possibilities
 Slide 11: Demonstrative Situation: Question 2
 Slide 13: Demonstrative Situation: Question 3
# of favorable outcomes (basically the # of possibilities you want)
Total # of outcomes
 A probability is always between 1 and 0, which
means that it can be a fraction that is equal to under
100% and has a 0.__ if it is a decimal.
 Suppose you are playing with a die (singular form of
“dice”) and a coin.
 Suppose you are playing with a die (singular form of
“dice”) and a coin.
 What are the possible outcomes?
 To find the possible outcomes we have to first think
about how many sides there on a dice, since there
are 6 sides there are 6 possible outcomes.
1
side
2
sides
3
sides
4
sides
5
sides
6
sides
 Since there are 2 sides on a coin there are 2 possible outcomes if we
are only using a coin alone, since we have 6 possible outcomes
already, we will add those outcomes to the chart keeping in mind the
fact that there a 6 outcomes, now they have 2 versions of those
original 6 outcomes. Since there are 12 coins at the bottom, there
are 12 possible possible mixes of how the coin and die will fall.
1
side
2
sides
3
sides
4
sides
5
sides
6
sides
H T H T H T H T H T H T
H = Heads
T = Tails
 In doing our last problem we could have used
multiplication due to the fact that what were were
really doing on part two was finding six twos (6(2)).
 Those two numbers multiply to our our total number
of possibilities, 12.
 Written out the possibilities are;
 1H, 1T, 2H, 2T, 3H, 3T, 4H, 4T, 5H, 5T, 6H, 6T
1
side
2
sides
3
sides
4
sides
5
sides
6
sides
H T H T H T H T H T H T
 Suppose you are playing with a die (singular form of
“dice”) and a coin.
 What is the possibility that you get an even number
 To find this out we need to look at the possibilities
again.
 1H, 1T, 2H, 2T, 3H, 3T, 4H, 4T, 5H, 5T, 6H, 6T
 Since there a 6 chances, we will put that above the
total number of possibilities as stated in slide 3.
 6/12 = ½ which is the final answer.
 Suppose you are playing with a die (singular form of
“dice”) and a coin.
 What is the possibility of you getting an even number
and* heads.
*when “and” shows up in problems such as these it is an omen for multiplication.
 What is the possibility of you getting an even number
and heads.
 The first thing to do is to check the possibilities of
getting them separately.
 1H, 1T, 2H, 2T, 3H, 3T, 4H, 4T, 5H, 5T, 6H, 6T
 Each one of them has a 6/12 or ½ chance of occuring so
I will follow the omen of the “and” and I will multiply them.
 ½ x ½ = ¼
Intro to probability

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Intro to probability

  • 2.  Slide 3: What is probability?  Slide 4: Mini Lesson: What Probability Can Be  Slide 5: Demonstrative Situation  Slide 6: Demonstrative Situation: Question 1  Slide 9: Mini Lesson: Finding the # of Possibilities  Slide 11: Demonstrative Situation: Question 2  Slide 13: Demonstrative Situation: Question 3
  • 3. # of favorable outcomes (basically the # of possibilities you want) Total # of outcomes
  • 4.  A probability is always between 1 and 0, which means that it can be a fraction that is equal to under 100% and has a 0.__ if it is a decimal.
  • 5.  Suppose you are playing with a die (singular form of “dice”) and a coin.
  • 6.  Suppose you are playing with a die (singular form of “dice”) and a coin.  What are the possible outcomes?
  • 7.  To find the possible outcomes we have to first think about how many sides there on a dice, since there are 6 sides there are 6 possible outcomes. 1 side 2 sides 3 sides 4 sides 5 sides 6 sides
  • 8.  Since there are 2 sides on a coin there are 2 possible outcomes if we are only using a coin alone, since we have 6 possible outcomes already, we will add those outcomes to the chart keeping in mind the fact that there a 6 outcomes, now they have 2 versions of those original 6 outcomes. Since there are 12 coins at the bottom, there are 12 possible possible mixes of how the coin and die will fall. 1 side 2 sides 3 sides 4 sides 5 sides 6 sides H T H T H T H T H T H T H = Heads T = Tails
  • 9.  In doing our last problem we could have used multiplication due to the fact that what were were really doing on part two was finding six twos (6(2)).  Those two numbers multiply to our our total number of possibilities, 12.
  • 10.  Written out the possibilities are;  1H, 1T, 2H, 2T, 3H, 3T, 4H, 4T, 5H, 5T, 6H, 6T 1 side 2 sides 3 sides 4 sides 5 sides 6 sides H T H T H T H T H T H T
  • 11.  Suppose you are playing with a die (singular form of “dice”) and a coin.  What is the possibility that you get an even number
  • 12.  To find this out we need to look at the possibilities again.  1H, 1T, 2H, 2T, 3H, 3T, 4H, 4T, 5H, 5T, 6H, 6T  Since there a 6 chances, we will put that above the total number of possibilities as stated in slide 3.  6/12 = ½ which is the final answer.
  • 13.  Suppose you are playing with a die (singular form of “dice”) and a coin.  What is the possibility of you getting an even number and* heads. *when “and” shows up in problems such as these it is an omen for multiplication.
  • 14.  What is the possibility of you getting an even number and heads.  The first thing to do is to check the possibilities of getting them separately.  1H, 1T, 2H, 2T, 3H, 3T, 4H, 4T, 5H, 5T, 6H, 6T  Each one of them has a 6/12 or ½ chance of occuring so I will follow the omen of the “and” and I will multiply them.  ½ x ½ = ¼