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

ID: 3224920 • Letter: R

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 three red marbles, four green ones, five 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 two red ones and one of each of the other colors. 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, five green ones, two white ones, and one purple one. She grabs eight of them. Find the probability of the following event, expressing it as a fraction in lowest terms, She does not have all the red ones 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, two green ones, five white ones, and two purple ones. She grabs eight of them. Find the probability of the following event, expressing it as a fraction in lowest terms, She does not have all the green ones.

Explanation / Answer

5. P( she doesn't grab all the red ones)
= P( atmost 1 red is grabbed)
= P( no red is grabbed) + P( 1 red is grabbed)
= 8C8/ 10C8 + 8C7*2C1/10C8
=1/45 + 16/45
=17/45