Three independent events and occur with probabilities and respectively

MATHEMATICS · Single correct · CBSE · Mathematics · Probability · Probability

Problem

Three independent events A, BA,\,B and CC occur with probabilities 0.3, 0.40.3,\,0.4 and 0.50.5 respectively. Given that at least one of the events occurs, what is the probability that exactly two of them occur? (a) 29100\dfrac{29}{100} (b) 4779\dfrac{47}{79} (c) 2979\dfrac{29}{79} (d) 2973\dfrac{29}{73}

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