A. )Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has

Question

A. )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 two purple ones. She grabs eight of them. Find the probability of the following event, expressing it as a fraction in lowest terms. She has at least one green one.

B.)  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 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.

C.)Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing two red marbles, two green ones, four 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

Explanation / Answer

A) Number of marbles = 14

P(at least one green) = 1 - P(no green)

= 1 - P(selecting 8 from 9 non green marbles)/P(selectng 8 from 14)

= 1 - 9C8/14C8

= 1 - 9/3003

= 1 - 3/1001

= 998/1001

B) Number of marbles = 11

P(2 red and 1 of each color) = 3C2x2C1x5C1x1/11C5

= 3x2x5x1/11C5

= 30/462

= 5/77

C) Number of marbles = 9

P(she does not have all red ones) = 1 - P(all red ones)

= 1 - 2C2x7C6/9C8

= 1 - 1x7/9

= 2/9

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