Notes Ask Your Racal fror, Example 1 t whenever Sutan sees bag of marbles, she g

Question

Notes Ask Your Racal fror, Example 1 t whenever Sutan sees bag of marbles, she grabs a handul at random. She has seen a bag containing four red marbles, three greerones, four white ones, and one purple one. She grabs five of them. Find the probability of the following event, expressing it es ‘fraction in lowest terms, HINT [See Ermple 1.1 She has two green ones and one of each of the other colors Need Help? owe g of marbles, purple one She grabs eight of them. Find the probability of the folowing event, expressing it as a frectien in lowest terms. HINT [See Example 1.1 She does not have all the red ones Need Help? ur white purple one. She grabs eight of them. Find the probability of the follewing event, expressing it as fraction in lonest terms. HENT (See Example 1. She does not have all the green ones

Explanation / Answer

Solution :- 4 To find the probability that she does get all the red ones, we must find two values: the total number of possible outcomes, and the total number of favorable outcomes for the given event (getting all the red marbles). Since she is choosing 8 marbles from a total of 10 = (10, 8) = 45. To get all the red ones, she must choose 4 red from 4, and then choose the remaining 4 marbles from the 6 non-red ones. There are (4,4)*(6, 4) = 15 ways to do this. Thus, the probality = 15/45 =1/3.

his is the probability that she does not get all the red ones is = 1-1/3= 2/3

8) Solution:- find the probability that she does get all the green ones, we must find two values: the total number of possible outcomes, and the total number of favorable outcomes for the given event (getting all the green marbles).

Since she is choosing 8 marbles from a total of 12, is (12, 8) = 495. To get all the green ones, she must choose 3 green from 3, and then choose the remaining 5 marbles from the 9 non- green ones. There are (3,3) * (9, 3) = 84 ways to do this. Thus, probalility = 84/495 = 28/165

the probability that she does not get all the green =137/165

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