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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 2 / 3 Find the number of blue balls in the jar.

5. 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 2/3  Find the number of blue balls in the jar.

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Let x be the number of blue marbles in the jar.

\therefore Number of green marbles in the jar = 24-x

According to question,

P(getting\ a\ green\ marble) = \frac{24-x}{24} = \frac{2}{3}

\\ \implies 24-x = 2\times8 \\ \implies x = 24-16 = 8

\therefore Number of blue marbles in the jar is 8

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