Question

In a game a die numbered 9 through 14 is rolled. What is the probability that the value of a roll will be a multiple of two or ten?

Answer 1

Explanation:

This is a special die. Its six sides bear the numbers {9, 10, 11, 12, 13, 14}.

There are three possibilities for getting a multiple of two: {10, 12, 14}, and

there is only one possibilities for getting a multiple of ten: {10, 12, 14}

The probability here of getting a multiple of two is 3/6, and that of getting a multiple of ten is 1/6. But one of the outcomes is found in both result sets: 10. Getting a multiple of 10 is already included in the event that the outcome is a multiple of two. My answer here would be 3/6, or 1/2.