A jar contains 24 marbles some …
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Sia ? 6 years, 4 months ago
The total number of marbles = 24.
Let the number of blue marbles be x.
Then, the number of green marbles = {tex}24 – x.{/tex}
P(getting a green marble)= {tex}\frac { \text { Number of favorable outcomes } } { \text { Number of all possible outcomes } } = \frac { 24 - x } { 24 }{/tex}
P(getting a green marble) = {tex}\frac{2}{3}{/tex} [Given]
{tex}\therefore \frac{{24 - x}}{{24}}{/tex}={tex}\frac{2}{3}{/tex}
{tex}\Rightarrow 3(24 - x) = 48{/tex}
{tex}\Rightarrow 72 - 3x = 48{/tex}
{tex}\Rightarrow 3x = 72 - 48{/tex}
{tex}\Rightarrow 3x = 24{/tex}
{tex}\Rightarrow x = 8{/tex}
Thus, the number of blue marbles in the jar is 8.
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