NIMCET 2025 — Reasoning PYQ

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Question

NIMCET 2025 — Reasoning PYQ

NIMCET | Reasoning | 2025

In a box, there are $8$ red, $7$ blue and $6$ green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?

Choose the correct answer:

Explanation

1. Total Number of Balls:

\text{Total Balls} = 8 (\text{Red}) + 7 (\text{Blue}) + 6 (\text{Green})

\text{Total Balls} = 21

2. Identifying Favorable Outcomes:

The condition is "neither red nor green". This means the ball must be Blue.

\text{Favorable Outcomes (Blue)} = 7

3. Probability Calculation:

P(E) = \frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Outcomes}}

P(E) = \frac{7}{21}

4. Simplification:

P(E) = \frac{1}{3}

Correct Answer: Option C