GATE 2023 CE (CE1) – Question 29

Engineering Mathematics · Probability and Statistics: Probability, conditional probability, descriptive statistics · 1 mark · Numerical answer

The probabilities of occurrences of two independent events A and B are 0.5 and 0.8, respectively. What is the probability of occurrence of at least A or B (rounded off to one decimal place)?

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Correct answer: 0.89 to 0.91

Explanation

For independent events $P(A \cup B) = P(A) + P(B) - P(A)P(B) = 0.5 + 0.8 - 0.4 = 0.9$.