Probability test review

P(A) = ?

• .4

• .7

• .1

• .55

What is the probability of a randomly selected individual being in A given that the individual is not in B?

• .8

• .7

• .875

• .4

P(A) = .6, P(B) = .1, and A and B are mutually exclusive. P(A ∩ B) = ?

• .7

• .5

• .64

• 0

P(A) = .6, P(B) = .1, and A and B are mutually exclusive. P(A U B) = ?

• .7

• .64

• .5

• 0

P(K)=.4, P(L)=.3, and K and L are independent events. What is the P(K∩L)?

• .7

• .12

• .1

• 0

P(K)=.4, P(L)=.3, and K and L are independent events. What is the P(KUL)?

• .7

• .58

• .1

• 0

Assume that the genders of children in the same family are independent and the chance of having a boy or a girl are each 50%.

In a family with three children, what is the chance that at least one of the children is a girl?

• 7/8

• 1/8

• 1/2

• 1/4

The probability Mary studies for a test is .8. If she studies she passes the test .9 of the time. If she doesn't study, she passes .3 of the time. What is the probability she passes? Hint: draw a tree diagram

• .78

• .72

• .06

• .22

Machine A makes 60% of the bottles in a factory and machine B makes the others. Machine A breaks 3% of products it produces and Machine B breaks 4%. If we know the bottle is broken, what's the probability it is a broken bottle from machine A?

• 0.529

• 0.018

• 0.016

• 0.034

100 people were surveyed. 54 were female, and 46 were male. 33 of the females said they were democrats, and 30 of the males said they were republicans. What is the probability a male is chosen if we know they are a republican?

• .59

• .65

• .35

• .41