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JEE MATHEMATICS MCQ: PROBABILITY

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A company has two plants A and B to manufacture motorcycles.

60 \%

motorcycles are manufactured at plant A and the remaining are manufactured at plant B.

80 \%

of the motorcycles manufactured at plant A are rated of the standard quality, while

90 \%

of the motorcycles manufactured at plant B are rated of the standard quality. A motorcycle picked up randomly from the total production is found to be of the standard quality. If p is the probability that it was manufactured at plant B, then

126 \mathrm{p}

is

View answer and explanation

Correct option: A

54

Option A (54) is correct because it is the value of 126p, where p is the probability that the motorcycle was manufactured at plant B given that it is of standard quality, calculated using Bayes' theorem.

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