Question

Recall from Example 1 that whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing four red marbles, three green ones, five white ones, and two purple ones. She grabs five of them. Find the probability of the following event, expressing it as a fraction in lowest terms.

a. She has two red ones and one of each of the other colors.

Answer 1

Answer: Our required probability is 0.089.

Explanation:

Since we have given that

Number of red marbles = 4

Number of green marbles = 3

Number of white marbles = 5

Number of purple marbles = 2

We need to grab 5 of them such that two must be red ones and one of each of the other colors.

So, probability would be

`(^4C_2* ^3C_1* ^5C_1* ^2C_1)/(^(14)C_5)\\\\=0.089`

Hence, our required probability is 0.089.