Conditional Probability Review

If A and B are independent, which statement must be true?

• P(A∩B) = 0

• P(A|B) = P(A)

• P(A∪B) = 0

• P(A) + P(B) = 1

When picking two cards from a pack (without putting the first one back) the two outcomes are:

• Dependent

• Independent

What is P(T given C)?

• 45%

• 29.6%

• 40%

• 33.3%

P(Sandals|Pants):

• 4/20

• 6/15

• 1/2

• 2/7

What is the chance that the dessert is brownies and has peanut butter in it?

• 0.94

• 0.58

• 0.99

• 0.95

What is the chance that the dessert is not brownies and does not have peanut butter in it?

• 0.58

• 0.42

• 0.06

• 0.05

Knowing that the dessert has peanut butter in it, what is the probability that it's brownies?

• 1.58

• 0.58

• 0.02

• 0.98

P (brownies  l  no peanut butter)

• 0.12

• 0.88

• 0.05

• 0.58

Given that there was no peanut butter, what is the probability that they were not brownies?

• 0.88

• 0.58

• 0.05

• 0.12

What is the probability that the dessert is brownies, knowing that the dessert has peanut butter?

• 0.98

• 0.02

• 0.58

• 1.58