### Home > MC2 > Chapter 11 > Lesson 11.2.4 > Problem11-70

11-70.
1. Lucas is having yogurt and an apple for a snack. There are five containers of yogurt in the refrigerator: three are raspberry, one is vanilla, and one is peach. There are also two green apples and three red apples. 11-70 HW eTool (CPM). Homework Help ✎

1. If he reaches into the refrigerator to get a yogurt without looking, what is the probability Lucas will choose a raspberry yogurt?

2. What is the probability he will choose a red apple if it is the first item he selects?

3. What is the probability Lucas will eat a raspberry yogurt and a red apple?

How many raspberry yogurts are there out of the total number of yogurts in the refrigerator?

How many red apples are there out of all the apples?

Lucas' choices for the apple and yogurt are independent because the outcome for choosing one type of food will not affect his choice when choosing for the other type.

To find the probability of two independent events both occurring, find each probability separately and then multiply their probabilities.

$\frac{3}{5}\cdot\frac{3}{5}=\frac{9}{25}$

Use the eTool below to test the probability.
Click the link at right for the full version of the eTool: MC2 11-70 HW eTool