Question

QUESTION 4 A box contains 3 cherry frozen treats and 2 grape frozen treats. Maggie takes a treat from the box without looking, gives it to her brother, and then selects another treat. What is the probability that her brother gets a grape treat and she gets a cherry treat?

Answer 1

3/10

Explanation:

Given the sample space

3 cherries

2 grapes

The sample size S = {3+2}= 5

For for the first selection

The probability of picking a grape
`Pr(grape)=(2)/(5)`

Since the second selection is without replacement the sample size is now 4

The probability of picking a cherry
`Pr(cherry)= (3)/(4)`

The probability that her brother gets a grape treat and she gets a cherry treat =
`(2)/(5) *(3)/(4)= (6)/(20)=(3)/(10)`