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Question

A jar contains 24 marbles, some are green and others are blue. If a marble is drawn at random from the jar, the probability that it is green is 23. Find the number of blue marbles in the jar.


A

12

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B

16

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C

11

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D

8

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Solution

The correct option is D

8


Given: P(green marble)=23

Since there are 24 marbles, therefore the sample space will be 24 (i.e. the denominator must be 24.)

Let us assume there are x number ofgreen marbles in the jar.

For an event E, probability P(E)=Number of outcomes favorable to ENumber of all possible outcomes of the experiment
P(green marbles)=23=x24
x=16

It implies that there are 16 green marbles in a jar of 24 marbles.
Number of blue marbles =2416=8.


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