Question

In a class, 40% of the students study math and science. 60% of the students study math. What is the probability of a student studying science given he/she is already studying math?

• A. 0.43
• B. 0.4
• C. 0.67
• D. 0.6

Answer 1

The correct option is C 0.67

$P\left(MandS\right)=0.40$

$P\left(M\right)=0.60$

$P\left(S|M\right)=\frac{P\left(MandS\right)}{P\left(S\right)}=\frac{0.40}{0.60}=\frac{2}{3}=0.67$