conditional Probability

Mary is a good student. The probability that she studies and passes her test is 3/5. If the probability that she studies is 8/9. What is the probability that she passes given that she studies? 

• 27/40
• 1.48
• .008
• .0593

Tags

CCSS.HSS.CP.B.6

What is the probability that a student does play a sport given they do not play an instrument? 

• .2
• .2222
• .10
• .5

Tags

CCSS.HSS.CP.A.4

Given the following VENN Diagram answer the following.

P( A | B )

• 2

• .4

• .6

• .8

Tags

CCSS.HSS.CP.B.6

P(Sandals|Pants):

• 4/20
• 6/15
• 1/2
• 2/7

Tags

CCSS.HSS.CP.A.4

The weather forecaster predicted it will be 4/5 chance of rain for Monday and 2/3 chance of rain for Tuesday. What is the probability it will rain both days?

• 1/2
• 20/15
• 8/15
• 6/8

A science teacher gave her class two tests. 25% of the class passed both tests and 42% of the class passed the first test. What percent of those who passed the first test also passed the second?

• 59.5%

• 10.5%

• 1.6%

• Not enough information

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

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

Tags

CCSS.HSS.CP.B.6

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%

Tags

CCSS.HSS.CP.B.6

P(Pizza|Senior):

• 10/15
• 4/5
• 2/3
• 10/5

Tags

CCSS.HSS.CP.A.4

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

• 2.6

• .12

• .24

• .38