Question

At Central High School, the following probabilities have been determined.

Answer 1

Answer:

The expression is $\frac{h}{g}$

Step-by-step explanation:

Define the following events:

A: The student is enrolled in a foreign language class,

B: The student is enrolled in a technology class

We are given that $P(A) = f, P(B) = g, P(A\cap B) = h$

Recall the definition of conditional probability: Let A, B be sets if P(B)>0, then, the probability of A given B is given by the expression

$P(A|B) = \frac{P(A\cap B)}{P(B)}$

So, using this, we are asked for the probability $P(A|B)$ which is

$P(A|B) = \frac{P(A\cap B)}{P(B)} = \frac{h}{g}$