GATE_AE_2027_MOCK_05_Q08 GATE 2027 Aerospace Engineering All-India Master Mock 05 (High-Yield Comprehensive Grand Finale) MCQ · 2 Marks
General Aptitude • Quantitative Aptitude • Permutations, Combinations & Probability

A box contains 5 good microswitches and 3 defective microswitches. If 2 microswitches are drawn at random without replacement, what is the probability that both are good?

(A) 5/14
(B) 10/28
(C) 15/56
(D) 25/64
Answer Key:
A

Step-by-Step Verified Solution

### Solution: P(1st good) = 5/8. P(2nd good | 1st good) = 4/7. P(both good) = (5/8) * (4/7) = 20/56 = 5/14. Correct: A.
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