Question

A bag contains cards numbered 1 through 20. One card is randomly selected. What is the probability that the number on the card is a multiple of 3 or greater than 10? Express your answer as a fraction

Answer 1

`p = (13)/(20)`

Explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem:

20 numbers

Multiple of 3:

3,6,9,12,15,18

Greater than 10:

11,12,13,14,15,16,17,18,19,20

Multiple of 3 or greater than 10:

3,6,9, 11,12,13,14,15,16,17,18,19,20

So 13 desired outcomes:

Probability:

`p = (13)/(20)`