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- 4.4 Conditional Probability And Independence
4.4 Conditional probability and Independence
Presentation
•
Mathematics
•
12th Grade
•
Medium
Standards-aligned
Paulo Leal
Used 44+ times
FREE Resource
9 Slides • 3 Questions
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4.4 Conditional probability and Independence
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What is the probability of basketball, given that the person is a male? Type your answer as a fraction, don't reduce.
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What is the probability of female, given that they chose football? Type your answer as a fraction, don't reduce.
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What is the probability of baseball, given that the person is female? Type your answer as a fraction, don't reduce.
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Are "male" and
"left-handed" independent?
P(left-hand | male) = 7/46 = 0.152
P(left-hand | female) = 3/54 = 0.056
Because the probabilities are not equal, the events "male" and "left-handed" are not independent.
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Are "gender" and
"passing" independent?
P(pass| male) = 110/165 = 0.667
P(pass) = 164/246 = 0.667
Because the probabilities are equal, "gender" and "passing" are independent.
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Are "gender" and
"passing" independent?
P(pass | female) = 54/81 = 0.667
P(pass) = 164/246 = 0.667
Because the probabilities are equal, "gender" and "passing" are independent.
4.4 Conditional probability and Independence
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