{ 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16 }

The probability of having:

1. a 12

In Set D, there are 12 numbers and one number 12.

P ( Event ) = P ( favorable outcomes) / P ( possible outcomes )

P ( Event ) = 1 / 12

Probability = 1 / 12

2. a 17

In Set D, there are 12 numbers but there's no number 17.

P ( Event ) = P ( favorable outcomes) / P ( possible outcomes )

P ( Event ) = 0 / 12

Probability = 0 / 12 or 0

3. Even Numbers

In Set D, there are 12 numbers and 6 even numbers.

P ( Event ) = P ( favorable outcomes) / P ( possible outcomes )

P ( Event ) = 6 / 12

P ( Event ) = 1 / 2

Probability = 1 / 2

4. An odd number divisible by 3.

In Set D, there are 12 numbers and two of it are odd numbers that are divisible by 3.

P ( Event ) = P ( favorable outcomes) / P ( possible outcomes )

P ( Event ) = 2 / 12

P ( Event ) = 1 / 6

Probability = 1 / 6

5. Numbers 13, 14, and 15.

In Set D, there are 12 numbers and three favorable outcomes.

P ( Event ) = P ( favorable outcomes) / P ( possible outcomes )

P ( Event ) = 3 / 12

P ( Event ) = 1 / 4

Probability = 1 / 4

ANSWERS:

1. E

2. A

3. D

4. C

5. B

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