Ch 5.3 Conditional Probability and Independence

Question 1

Suppose one card is selected from a deck of cards. Determine P(B∣A) for the following events.

Accepted Answer

0.25

Question 2

If we randomly select a game, whats the probability that a fan got a Free Big Mac?

Accepted Answer

16/41

Question 3

The probability that one event happens given that another event is already known is called

Accepted Answer

conditional probability

Question 4

Ty makes free throws88% of the time,whats the probablity he misses the 1st shot + makes the2nd?

Accepted Answer

0.1056

Question 5

The general multiplication rule states:

Accepted Answer

P(A and B) = P(A) x P(B|A)

Question 6

What is the probability that the fan witnessed a Loss and did not get a Free Big Mac?

Accepted Answer

4/41

Question 7

Whats the probability of drawing 2 face cards (JQK) if the cards are drawn without replacement?

Accepted Answer

11/221

Question 8

Which two events are most likely to be independent?

Accepted Answer

registering to vote; being left handed

Question 9

A drawer has 10blue socks and 12black socks, whats the probabilty of pulling out 2 black socks?

Accepted Answer

28.6%

Question 10

Is getting a Big Mac independent of the Bullswinning the game?

Accepted Answer

no b/c P(Big Mac) ≠ P(Big Mac|Win)

Question 11

What is the probability that the fan witnessed a Win or got a Free Big Mac?

Accepted Answer

37/41

Questions 11