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.
Answer: Option D
:
D
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 arexnumberofgreen marbles in the jar.
For an event E, probabilityP(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.
∴Numberofblue marbles=24−16=8.
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:
D
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 arexnumberofgreen marbles in the jar.
For an event E, probabilityP(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.
∴Numberofblue marbles=24−16=8.
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