Question

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?

Answer 1

The probability that both pick the same number is p = 0.018

How to find the probability?

First, we need to count the number of options that each kid has.

• There are 9 multiples of 4 less than 40.
• There are 19 multiples of 3 less than 60.

Such that the common numbers in these two lists are:

• 4*3 = 12
• 4*6 = 24
• 4*9 = 36.

We need to find the probability that both kids select one of these 3 numbers at the same time.

Then, Anna must select any of these 3 out of the 9 possibilities, so the probability for Anna is:

P = 3/9.

Then, Becky must select the same one than Anna, so there is only one number out of the 19 possibilities that she has, then the probability is:

Q = 1/19

The joint probability is given by the product between these 2 numbers, it is:

p = (3/9)*(1/19) = 0.018

If you want to learn more about probability, you can read:

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