80% male students are majoring in engineering. 47% of students are male. What is the probability a student chosen at random will be a male majoring in engineering.

0.376

Explanation:

Probability of male student [ P (MS) ] = 47% = 0.47

Probability male students majoring in Engineering [ P (E / MS) ] = 80% = 0.80

Probability that a student chosen is male & majoring in engineering

= P (E ∩ MS)

As per conditional probability rule:

P (E / MS) = P (E ∩ MS)

P (MS)

So, P (E ∩ MS) = P (E / MS) x P (MS)

= 0.80 x 0.47

= 0.376

0.376

Explanation:

Percentage of male students in the class; 47% = 47/100 = 0.47

percentage of male students majoring in engineering = 80% = 80/100 = 0.8

probability of randomly choosing a male majoring in engineering in the class;

P = 0.47 x 0.8 = 0.376