Question

A jar contains 24 marbles, some are green and some 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 marbles in the jar.

(a)16
(b)6
(c)12
(d)8​

Answer 1

Answer:

8

Explanation:

Given :

Total marbles = 24

Probability of drawing a green marble = 2/3

To Find :

The number of blue marbles in the jar

Solution :

$\mathrm {Probability\ of\ Green\ marble = \frac{No.\ of\ marbles\ of\ Green\ colour\ in\ the\ jar}{Total\ no.\ of\ marbles} }$

$\mathrm {\frac{2}{3} = \frac{No.\ of\ green\ marbles}{24} } \\\\=> \rm { 2 \times 8 = No.\ of\ green\ balls} \\=> \text {No. of green balls} = 16$

Hence blue balls = total - green

=> Blue = 24 - 16

=> Blue = 8

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