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

Answer:

3/10

Step-by-step 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  $Pr(grape)=\frac{2}{5}$

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

The probability of picking a cherry $Pr(cherry)= \frac{3}{4}$

The probability that her brother gets a grape treat and she gets a cherry treat = $\frac{2}{5} *\frac{3}{4}= \frac{6}{20}=\frac{3}{10}$