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1)Recall from Example 1 that whenever Suzan sees a bag of marbles, she grabs a h

ID: 2912634 • Letter: 1

Question

1)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, five green ones, four white ones, and three purple ones. She grabs eight of them. Find the probability of the following event, expressing it as a fraction in lowest terms.

She has all the red ones.

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

She has at most one green one.

Explanation / Answer

total number of marbles = 4 + 5 + 4 + 3

= 16 marbles

total red marbles = 4

she grabs 8 of them

probability = 4C4 * 12C4 / 16C8

= 495/12870

reducing to lowest terms = 1/26