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