Conditional Probability Word Problems

A jar contains black and white marbles. Two marbles are chosen without replacement. The probability of selecting a black marble and then a white marble is 0.34, and the probability of selecting a black marble on the first draw is 0.47. What is the probability of selecting a white marble on the second draw, given that the first marble drawn was black?

• 16%

• 1.38%

• 72.3%

• Not enough information

45% total of the children in a school have a dog, 30% total have a cat, and 18% have a dog and cat. What percent of those who have a cat also have a dog?

• 60%

• 40%

• 24%

• 1.7%

What is P(T given C)?

• 45%

• 29.6%

• 40%

• 33.3%

P(Pizza|Senior):

• 10/15

• 4/5

• 2/3

• 10/5

Given P(A) = .8 and P( B| A) = .3, find P( A and B).

• 2.6

• .12

• .24

• .38

Given the following VENN Diagram answer the following

P( B | A )

• .4

• .25

• .5

• .67

What is the probability that a student plays on a sports team given they play an instrument?

• .7273

• .8

• .55

• .2222

The probability that a women likes the color blue is 10%. The probability of being a women is 40%. What is the probability that a women is chosen given they liked the color blue?

• 4

• .4

• .1

• .25

What is P(Foreign language | Sport)?

• 14/27

• 7/12

• 23/47

• 37/47

What is P(T given J)?

• 79.2%

• 37%

• 70.3%

• 41.7%