General Aptitude Questions and Answers for Gate CSEIT – GATE 2025 The probabilities that a student

General Aptitude Questions and Answers for Gate CSEIT – GATE 2025 The probabilities that a student

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General Aptitude Questions and Answers for Gate CSEIT – GATE 2025 The probabilities that a student

ME memory based GATE 2025_Forenoon.pmd

Here’s a classic probability question frequently encountered in GATE General Aptitude sections:

Question:

A student has the following probabilities of passing in three subjects: Mathematics (m), Physics (p), and Chemistry (c). The probabilities are such that:Testbook

• The probability of passing in at least one subject is 75% (0.75).

• The probability of passing in at least two subjects is 50% (0.50).

• The probability of passing in exactly two subjects is 40% (0.40).

Based on this information, which of the following relations among m, p, and c are correct?

Options:

I. m+p+c=2720m + p + c = \frac{27}{20}m+p+c=2027​
II. m+p+c=1320m + p + c = \frac{13}{20}m+p+c=2013​
III. m×p×c=110m \times p \times c = \frac{1}{10}m×p×c=101​

Solution:

To analyze the given probabilities, let’s denote:

• $P(A)$: Probability of passing in Mathematics = m

• $P(B)$: Probability of passing in Physics = p

• $P(C)$: Probability of passing in Chemistry = c

The probability of passing in at least one subject is given by:

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GATE 2025 CSE Slot 1 Question Paper with Solutions PDF

GATE 2025 CSE Slot 1 Question Paper with Answer Key

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