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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, three 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.

Respuesta :

varshamittal029

For this problem, it is best to consider E to be the case in which she has all of the green ones, and then apply the formula for calculating the probability of a complement. 

. To determine the likelihood that she will receive all of the green  ones, we must first determine two values: the total number of possible outcomes, n(S), and the total number of favorable outcomes for the given event. Because she selects 8 marbles from a total of 11, n(S) = C(11, 8) = 165. To get all the green  ones, she must first select three red marbles from a set of three, and then select the remaining five marbles.

from the 8 non-red ones. There are (3,3)(8, 5) = 56 ways to do this. Thus,

() =56/165

. The probability of not occurring is then (′) = 1 −56/165=109/165

, so this is the probability that she does  get all the green one.

learn more about probability here

https://brainly.com/question/13604758

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