In a class of 40 students, 25 like Mathematics (event ), 18 like Physics (event ) and…

MATHEMATICS · Single correct · A Level · Mathematics · Probability · Probability

Problem

In a class of 40 students, 25 like Mathematics (event

M

), 18 like Physics (event

P

) and 12 like both Mathematics and Physics. If a student is selected at random and is known to like Physics, find

P(M\mid P)

. (a)

\dfrac{12}{25}

(b)

\dfrac{2}{3}

(c)

\dfrac{3}{10}

(d)

\dfrac{1}{3}