Question

In: Statistics and Probability

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

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, two 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. HINT [See Example 1.] She has 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, five green ones, four white ones, and three purple ones. She grabs seven of them. Find the probability of the following event, expressing it as a fraction in lowest terms. HINT [See Example 1.]

She has at least one green one.

Solutions

Expert Solution

1)

She has all the red ones =P(selcet 4 from 4 red and 4 from rest of 9) =(4C4)*(9C4)/(13C8)

=14/143

2)

She has at least one green one =1-P(no green one) =1-(10C7)/(15C7) =421/429

orchestra answered 2 years ago
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