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
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The probability of passing in at least one subject is 75% (0.75).
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The probability of passing in at least two subjects is 50% (0.50).
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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}
II. m+p+c=1320m + p + c = \frac{13}{20}
III. m×p×c=110m \times p \times c = \frac{1}{10}
Solution:
To analyze the given probabilities, let’s denote:
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P(A)P(A): Probability of passing in Mathematics = m
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P(B)P(B): Probability of passing in Physics = p
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P(C)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
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