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GATE 2019 MT – Question 47

Engineering Mathematics · Probability and statistics · 2 marks · Numerical answer

Student A solves a problem with probability 1/3 and student B with probability 2/5. Assuming independent attempts, find the probability that at least one solves it (two decimal places).

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Correct answer: 0.59 to 0.61

Explanation

Use the complement: neither solves with probability $(1-1/3)(1-2/5)=(2/3)(3/5)=2/5$. Thus at least one succeeds with probability 1−2/5=3/5=0.60. Independence is the assumption implicit in the numerical key.

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