Question

WORTH 100 POINTS

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.

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

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

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

Answer 1

If Lucas reaches into the refrigerator to get a yogurt without looking, there is a 3/5 probability that Lucas will choose a raspberry yogurt.

There is a 3/5 probability that he will choose a red apple if it is the first item he selects.

There is a 9/25 probability that Lucas will eat a raspberry yogurt and a red apple.

Explanation:

3/5 x 3/5 = 9/25

Answer 2

• Probability of yogurt being raspberry = 3/5 = 0.6
• Probability of choosing a red apple = 3/10 = 0.3
• Probability of raspberry yogurt AND red apple = 9/50 = 0.18

Explanation:

Total of 5 yogurts: 3 raspberry + 1 vanilla + 1 peach

Probability of yogurt being raspberry = 3/5 = 0.6

Total of 5 apples: 2 green + 3 red

Total number of snacks = 10

Probability of choosing a red apple = 3/10 = 0.3

Probability of raspberry yogurt AND red apple = 0.6 x 0.3 = 9/50 = 0.18