Probability and Counting

A package contains 12 resistors, 3 of which are defective. If 4 are selected randomly, find P(3 defective resistors)

• .113

• .209

• .018

• .056

Find the probability of getting a full (3 cards of 1 denomination and 2 of another) when 5 cards are dealy from an ordinary deck of cards.

• .0014

• .0023

• .0018

• .0009

At a recent graduation at naval flight school, 18 Marines, 10 members of the Navy, and 3 members of the Coast Guard got their wings. Chose 3 pilots are randomly selected to feature on a training brochure. Find P(1 from each branch of military)

• .130

• .140

• .120

• .110

At a recent graduation at naval flight school, 18 Marines, 10 members of the Navy, and 3 members of the Coast Guard got their wings. Chose 3 pilots are randomly selected to feature on a training brochure. Find P(0 members of the Navy)

• .187

• .296

• .129

• .242

At a recent graduation at naval flight school, 18 Marines, 10 members of the Navy, and 3 members of the Coast Guard got their wings. Chose 3 pilots are randomly selected to feature on a training brochure. Find P(3 Marines)

• .182

• .215

• .129

• .242

Bag A contains 9 red marbles and 3 green marbles. Bag B contains 9 black marbles and 6 orange marbles. Find the probability of selecting one green marble from bag A and one black marble from bag B.

• 3/20

• 1/4

• 3/31

• 2/27

A basket contains four apples and six peaches. You randomly select one piece of fruit and eat it. Then you randomly select another piece of fruit. What is the probability that both pieces of fruit are apples.

• 2/15

• 3/17

• 1/19

• 6/21

A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement. P(1st orange then green)

• 1/15

• 2/15

• 3/31

• 1/5

What is P(Foreign language | Sport)?

• 14/27

• 7/12

• 23/47

• 37/47

In how many ways can you answer six multiple-choice questions if each question has four options?

• 15

• 360

• 24

• 4096