Compound Probability

A number cube is rolled twice. What is the probability of getting a 6 on the first roll, then a number less than 5 on the second roll? 

• 2/3

• 5/36

• 1/9

• 1/36

Ricardo has the spinner pictured here and a bag of marbles filled with 2 red marbles, 3 green marbles, and 3 blue marbles. What is the probability that Ricardo spins red on the spinner and picks a red marble out of the bag?

• 1 ⁄ 16

• 1 ⁄ 2

• 1 ⁄ 4

• 1 ⁄ 8

A fruit basket contains
9 apples, 3 bananas, 7 oranges, 5 pears, and 1 grapefruit. Kyle randomly chooses a fruit, does not replace it, then chooses another. What is the probably that he chose two pears?

• 9/49

• 4/125

• 1/10

• 1/30

A chorus has 50 girls and 35 boys. If two are chosen at random to sing a duet, what is the probability that both will be boys? HINT: You can not have the same person twice in a duet 

• 1/6

• 7/17

• 3/8

• 13/25

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

What is the probability that the person picked will be a boy given they speak german? 

• .7273

• .4

• .16

• .22

What is the probability that a female is chose given they like a Toyota? 

• .525

• .4627

• .6774

• .3143

In a school the probability that a student takes Technology and Spanish is 0.087. The probability that a student takes technology is 0.68. What is the probability that a student takes Spanish given that the student is taking Technology?

• 7.8%

• 12.8%

• 5.9%

• Not enough information

What is P(two blues)?

• 50%

• 26.7%

• 15.2%

• 53.3%

A new credit card has been issued to 2000 customers. Of these customers, 1500 hold a Visa, 500 hold an AA card, and 40 hold a Visa and AA card. Find the probability that a random chosen customer holds an AA, given they hold a Visa.

• .0267

• 37.5

• .02

• .3333