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Anna selects a positive multiple of 4 that is less than forty, and Becky selects a positive multiple of 3 that is less than sixty. What is the probability that they pick the same number?
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Answer:

3/171

Step-by-step explanation:

The problem can be simplified into finding probability that Anna and Becky select 12 or 24 or 36 which are less than 40 and multiples of 3 and 4.

Probability of Anna selecting 12 = 1/9

Probability of Becky selecting 12 = 1/19

Probability of Anna and Becky selecting 12 = 1/9 * 1/19 = 1/171

Probability of Anna and Becky selecting 12 or 24 or 36 = 3* 1/171 = 3/171