Recall from Example 1 that whenever Suzan sees a bag of marb

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, 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. HINT [See Example 1.] She has at least one green one.

Please use n(S) and n(E) and p(E) to solve this question. show steps thank u

Solution

She has seen a bag containing four red marbles, three green ones, four white ones, and one purple on

n(S) = 12

Green = 03 marbles

Probaility of atleast 1 green =The easiest way to do this problem is find the probability that none is green, and one minus that number is the probability that at least one is green.

Probablity = 1 - ( 9/12)*(8/11)*(7/10)*(6/9)*(5/8)*(4/7)(3/6)*(2/5)

= 1- 362880/19958400

= 19595520/19958400

=  1959552/1995840