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Chapter 4: Q3 (page 166)

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

Expert verified

PH|Fis the probability of selecting a high school classmate given that she is a female friend selected from Facebook.

Step by step solution

01

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.

02

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 asPB|A.

03

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,PH|F is the probability of H given F.

Therefore, PH|Fis the probability of selecting a high school classmate given that the friend is female.

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