Prize Winner, Part 1

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The group agrees. As Khalid enters this into the Rules of the Game sign, the others find out what the probability is for winning a medium prize.

In order to find P(choosing a multiple of five given that you choose an even number), first consider what numbers we are limited to. The gamer must choose an even number.

• List the even numbers.

So, the gamer is limited to fifteen numbers. From these fifteen (even) numbers, the gamer must choose a multiple of five.

• From the list of the even numbers, identify the numbers that are a multiple of five.

Thus, the probability of choosing a multiple of five given that you choose an even number is 3 out of 15, which can be written as ${\displaystyle \frac{3}{15}=\frac{1}{5}}$.

 

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