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MAT Exam 2022 Paper

Question : 81 of 200

Marks: +1, -0

Solution:

Concept:

Probability is the ratio of favourable combinations to total combinations when drawing without replacement.

Explanation:

Total balls in the bag

= 4 + 6 + 8 = 18

Total ways to draw 3 balls from 18 is

^{18}C_3

Favourable ways to draw 3 yellow balls from 6 yellow balls is

^{6}C_3

Required probability

= \dfrac{^{6}C_3}{^{18}C_3}

Now,

^{6}C_3 = \dfrac{6!}{3!3!} = 20

And

^{18}C_3 = \dfrac{18!}{3!15!} = 816

So, probability

= \dfrac{20}{816} = \dfrac{5}{204}

Answer:

\dfrac{5}{204}

, which is option D.

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