Question

Notation When selecting one of your Facebook Friends, let event F = female and let event H = high school classmate. Use your own words to translate the notation P(H|F) into a verbal statement.

Short answer

$P\left(H|F\right)$is the probability of selecting a high school classmate given that she is a female friend selected from Facebook.

Step-by-step solution

Given information

When selecting a Facebook friend, H is the event of selecting a high school classmate, while F is the event of selecting a female friend.

Define conditional probability 

Let A and B be two events. If the probability of the occurrence of B depends on the occurrence of A, it can be referred to as theconditional probability of B, when A is given. It can be denoted as$P\left(B|A\right)$.

Interpretation with reference to the defined event

Define events as follows:

• H is the event of selecting a high school classmate.
• F is the event of selecting a female friend.

As defined above,$P\left(H|F\right)$ is the probability of H given F.

Therefore, $P\left(H|F\right)$is the probability of selecting a high school classmate given that the friend is female.