Answer :

SOLUTION:

Case: Conditional probability

P(A/B) is known as conditional probability and it means the probability of event A that depends on another event B. It is also known as "the probability of A given B". P(A/B) Formula is used to find this conditional probability quickly.

Given: Two tests: Math and science and the grades obtained

Required:

P(grade of B | science class)

Method:

P(grade of B | science class).

This interpretes as : Given that a student is selected from the science class, what is the probability that the student got the grade B

[tex]\begin{gathered} P(\text{grade of B | science class)} \\ =\text{ }\frac{n(\text{scienceB)}}{\text{science class}} \\ =\text{ }\frac{8}{25} \\ =\text{ }0.320 \end{gathered}[/tex]

Final answer:

The final answer is 0.320. Option (C)