NIMCET 2025 — Mathematics PYQ

Q: How do I solve NIMCET 2025 Mathematics questions?

Practice NIMCET 2025 Mathematics previous year questions with step-by-step solutions on Mathem Solvex. Each question includes a detailed explanation and video solution to help you master the concept quickly.

Q: What is the difficulty level of NIMCET Mathematics questions?

NIMCET Mathematics questions range from moderate to advanced difficulty. Consistent practice with official previous year papers and topic-wise drills on Mathem Solvex is the most effective preparation strategy.

Q: Are NIMCET previous year papers available for free?

Yes. Mathem Solvex provides free access to NIMCET previous year question papers and topic-wise PDFs. You can download them or attempt them as timed live mock tests directly on the platform.

Question

NIMCET 2025 — Mathematics PYQ

NIMCET | Mathematics | 2025

There are two coins, say blue and red. For the blue coin, the probability of getting a head is 0.99 and for the red coin, it is 0.01. One coin is chosen randomly and is tossed. The probability of getting a head is:

Choose the correct answer:

Explanation

Solution

Events:

Let $B$ be the event of choosing the blue coin.

Let $R$ be the event of choosing the red coin.

Let $H$ be the event of getting a head.

Given Probabilities:

Since one coin is chosen randomly from two:

P(B) = \frac{1}{2} = 0.5

P(R) = \frac{1}{2} = 0.5

The conditional probabilities of getting a head are:

P(H|B) = 0.99

P(H|R) = 0.01

Calculation:

Using the Law of Total Probability:

P(H) = P(B) \cdot P(H|B) + P(R) \cdot P(H|R)

P(H) = (0.5 \times 0.99) + (0.5 \times 0.01)

P(H) = 0.495 + 0.005

P(H) = 0.50

Final Answer:

The probability of getting a head is 0.50. The correct option is (C).