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NIMCET 2023 Mathematics PYQ — A bag contain different kind of balls in which 5 yellow, 4 black … | Mathem Solvex | Mathem Solvex

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NIMCET 2023 — Mathematics PYQ

NIMCET | Mathematics | 2023

A bag contain different kind of balls in which 5 yellow, 4 black & 3 green balls. If 3 balls are drawn at random then find the probability that no black ball is chosen

Choose the correct answer:

A.
14/55
(Correct Answer)
B.
1/66
C.
2/9
D.
none

Correct Answer:

14/55

Explanation

$5 Y + 4 B + 3 G = 12$ balls
Non black ball = 8 balls
P(No black ball is selected) = $\frac{^{8} C _{3}}{^{12} C _{3}} = \frac{8 \times 7 \times 6}{12 \times 11 \times 10} = \frac{14}{55}$

Explanation

$5 Y + 4 B + 3 G = 12$ balls
Non black ball = 8 balls
P(No black ball is selected) = $\frac{^{8} C _{3}}{^{12} C _{3}} = \frac{8 \times 7 \times 6}{12 \times 11 \times 10} = \frac{14}{55}$

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