5.3 - 5.4 Quiz Review

Let A and B be two independent events with P(A) = 0.3 and P(B) = 0.45. Find  $P\left(A\cap B\right)$  .

• 0.75

• 0.135

• 0.67

• 1.5

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.4

Let A and B be two independent events with P(A) = 0.55 and P(B) = 0.20. Find P(B|A).

• 0.75

• 0.36

• 0.20

• 0.11

Tags

CCSS.HSS.CP.A.3

Suppose that A and B are two events with P(B) = 0.35 and P(A|B) = 0.20. Find  $P\left(A\cap B\right)$  .

• 0.07

• 0.55

• 0.57

• 0.20

Let A and B be independent events such that P(A) = 0.375 and P(B) = 0.40. Find P((A and B) $P\left(\left(A\ and\ B\right)^c\right)$  

• 0.775

• 0.15

• 0.85

• 0.225

A single fair die is rolled twice in succession. Find the probability of observing a multiple of 3 given that you observe an even number on the first roll.

• 0.167

• 0.15

• 0.85

• 0.67

Tags

CCSS.HSS.CP.B.6

A bag contains five red balls and four yellow balls. If we select two balls at random, what is the probability that both balls will be yellow if this sample is without replacement?

• 0.167

• 0.44

• 0.19

• 0.50

Tags

CCSS.HSS.CP.B.9

A bag contains five red balls and four yellow balls. If we select two balls at random, what is the probability that the second ball is red given that the first ball was red? Assume sampling without replacement.

• 0.28

• 0.56

• 0.50

• 0.40

Tags

CCSS.HSS.CP.B.6

Let A be the event that a fair die is rolled and an even number observed, and let B be the event that a spade is drawn from a well-shuffled deck. Find P(A and B).

• 3/4

• 1/2

• 1/3

• 1/8

Which of the following describes independent events?

• Rolling doubles twice in a row when rolling two fair die two times

• Drawing two queens from a deck of cards without replacement

• Neither A nor B

• Both A and B

Tags

CCSS.HSS.CP.A.5

 $_5P_2$  

Find the value of the permutation using the formula.

• 12

• 20

• 60

• 10