
Concept explainers
To calculate: The probability of drawing 2 marbles such that neither is yellow marble from a bad that contains one green, two yellow and three red marbles without replacement.

Answer to Problem 33E
The probability to draw two marbles such that neither is yellow marble is
Explanation of Solution
Given information:
An experiment that draws two marbles from a bag that contains one green, two yellow and three red marbles without replacement.
Formula used:
The probability of an event is the ratio of number of possible outcomes of an event E denoted by
The complement of an event E is denoted by
Calculation:
Consider the provided experiment that draws two marbles from a bag that contains one green, two yellow and three red marbles without replacement.
Total number of marbles are 6.
Recall that the probability of an event is the ratio of number of possible outcomes of an event E denoted by
Denote the event
Since, the experiment is done without replacing the marbles and two marbles are drawn.
Denote the event
So,
Probability that both yellow marbles are drawn is,
Now, probability that neither marble is yellow is probability that both marbles are yellow is subtract from one since one event is complement to other.
Denote the event
Thus, the probability to draw two marbles such that neither is yellow marble is
Chapter 9 Solutions
Precalculus with Limits
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