TEST: Permutations, Combinations, Probability, and Odds

Use the counting Principle to determine the number of the elements in the sample space: a) Two digits are selected without replacement from the digits 1, 2, 3, 4.

• 6

• 8

• 10

• 12

Use the counting Principle to determine the number of the elements in the sample space: b) Two digits are selected with replacement from the digits 1, 2, 3, 4.

• 8

• 12

• 16

• 20

From the letters a, b, c, d, e, and f how many five-letter groups can be formed if a letter can be used more than once?

• 120

• 7776

• 3125

• 720

From the letters a, b, c, d, e, and f how many five-letter groups can be formed if each letter can be used exactly once?

• 60

• 120

• 360

• 720

In a school cafeteria you may choose from 4 entrees, 5 sides, 3 deserts and 4 drinks for lunch. How many different lunches you can make, if you choose one from each category?

• 240

• 60

• 80

• 120

How many ways can you form a 4-person committee from 6 men and 5 women if: b) The committee has 2 men and 2 women.

• 15 ways

• 150 ways

• 90 ways

• 120 ways

A box contains 9 red and 2 blue marbles and 3 yellow marbles. If you select one at random from the box, determine: a) The probability the marble is red.

• 1/14

• 9/14

• 3/14

• 1/4

A box contains 9 red and 2 blue marbles and 3 yellow marbles. If you select one at random from the box, determine: b) The odds in favor of selecting a red marble.

• 9:5

• 9:2

• 5:9

• 2:9

A box contains 9 red and 2 blue marbles and 3 yellow marbles. If you select one at random from the box, determine: c) The probability the marble is blue.

• 1/7

• 2/14

• 1/2

• 2/7

A box contains 9 red and 2 blue marbles and 3 yellow marbles. If you select one at random from the box, determine: d) The odds against selecting a blue marble.

• 5:1

• 6:1

• 7:1

• 8:1