Introduction to Probability · Problem 4.1.60

Conditional Probability — Grinstead & Snell

Mathematics — Probability · 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