Mathematics

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}

\dfrac{2}{3}

\dfrac{3}{10}

\dfrac{1}{3}