Grinstead-Snell-Probability · Problem 4.1.60

Conditional Probability

Mathematics · attraction-union

Problem

Prove that if

A

attracts both

B

and

C

, and

A

repels

B \cap C

, then

A

attracts

B \cup C

. Is there any example in which

A

attracts both

B

and

C

and repels

B \cup C