Question

Jon had to put together a menu for his Science Club picnic bag lunch. The menu groups the items into sandwiches, drinks, and fruit. Jon had to put one food item from each group in a bag for the members.

Answer 1

`(1)/(30)`

Step-by-step explanation

We want to find the probability that Jon will get a peanut butter sandwich, a chocolate milk and a banana.

This can be obtained by finding the product of the probability of picking each item from their respective groups.

That means that we will find the probability of picking each item and multiply them together.

There are 2 sandwich options, which means that the probability of getting a peanut butter sandwich is:

`P(PB)=(1)/(2)`

There are 5 drink options, which means that the probability of getting a chocolate milk drink is:

`P(CM)=(1)/(5)`

There are 3 fruit options, which means that the probability of getting a banana is:

`P(B)=(1)/(3)`

Therefore, the probability that Jon will get a peanut butter sandwich, a chocolate milk and a banana is:

`\begin{gathered} P(PB\&CM\&B)=(1)/(2)\cdot(1)/(5)\cdot(1)/(3) \\ P(PB\&CM\&B)=(1)/(30) \end{gathered}`