On a given day

MATHEMATICS · Multi-part · CBSE · Mathematics · Probability · Probability

Problem

On a given day, machine X has a 10% chance of malfunctioning and machine Y has a 7% chance of the same. (a) Last Thursday *exactly* one of the machines malfunctioned. Find the probability that it was machine X. (b) At least one of the machines malfunctioned today. Find the probability that machine Y malfunctioned.

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