There are 24 marbles in a jar out of them some are green and remaining

1.	There are 24 marbles in a jar out of them some are green and remaining are blue. If a marble is drawn from the jar at random, the probability that the green marble drawn is 2/3.Find the number of blue marbles in the jar.
Answer» The total number of marbles in the jar = 24 ∴ Total number of all possible outcomes = 24. Let the number of green marbles in jar be x. ∴ The number of favourable outcomes = x. The probability that the marble drawn is green = \(\frac { x }{ 24 }\) But we have the probability of drawing a green marble = \(\frac { 2 }{ 3 }\) \(\frac { x }{ 24 }\) = \(\frac { 2 }{ 3 }\) 3x = 2 × 24 x = \(\frac { 2\times 24 }{ 3 }\) x = 16. Thus, the number of green marbles in the jar = 16 The number of blue marbles = 24 – 16 = 8 Hence, the number of blue marbles in the jar = 8

There are 24 marbles in a jar out of them some are green and remaining are blue. If a marble is drawn from the jar at random, the probability that the green marble drawn is 2/3.Find the number of blue marbles in the jar.

Answer»

The total number of marbles in the jar = 24

∴ Total number of all possible outcomes = 24.

Let the number of green marbles in jar be x.

∴ The number of favourable outcomes = x.

The probability that the marble drawn is green = \(\frac { x }{ 24 }\)

But we have the probability of drawing a green marble = \(\frac { 2 }{ 3 }\)

\(\frac { x }{ 24 }\) = \(\frac { 2 }{ 3 }\)

3x = 2 × 24

x = \(\frac { 2\times 24 }{ 3 }\)

x = 16.

Thus, the number of green marbles in the jar = 16

The number of blue marbles

= 24 – 16 = 8

Hence, the number of blue marbles in the jar = 8

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