Given a jar contains 24 marbles.
Therefore, total marbles in the jar = 24.
Given that the probability of getting a green marble from the jar is \(\frac{2}{3}\) .
Let marbles are green in the jar.
Therefore, the probability of getting a green marble from the jar
= \(\frac{Total\,number\,of\, green\,marble}{Total\,number\,of\,marbles\in\,the\,air}= \frac{x}{24}.\)
Hence, \(\frac{x}{24}\) = \(\frac{2}{3}\) (∵ probability of getting a green marble is \(\frac{2}{3}\). (given))
⇒ = \(\frac{2}{3}\times 24\) = 2× 8 = 16.
Since, jar contains either green marbles of blue marble.
Therefore, the number of blue marbles in the jar
= Total number of marbles in the jar – Total green marbles in the jar
= 24 – 16 = 8.
Hence, total 8 marbles are blue in the jar.