In a tuition batch of two students, the probability that will pass the exam is and that of is . What is the probability that neither of and will pass the exam? Assume that the outcomes of exams for and are independent of each other

Explanation: To find the probability that neither nor will pass, we first determine the probability of each student failing the exam. Step 1: Calculate individual probabilities of failing The probability of failing is . Probability that fails: Probability that fails: Step 2: Calculate the joint probability Since the outcomes are independent, the probability that both fail is the product of their individual probabilities of failing: Correct Option: (c)

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NIMCET 2026 — Mathematics PYQ

NIMCET | Mathematics | 2026

In a tuition batch of two students, the probability that $X$ will pass the exam is $\frac{2}{5}$ and that of $Y$ is $\frac{3}{4}$ . What is the probability that neither of $X$ and $Y$ will pass the exam? Assume that the outcomes of exams for $X$ and $Y$ are independent of each other

NIMCET 2026 — Mathematics PYQ

Choose the correct answer:

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