Introduction to Probability · Problem 4.1.55

Conditional Probability — Grinstead & Snell

Mathematics — Probability · attraction-repulsion-poker

Problem

Let

R_i

be the event that the

i

th player in a poker game has a royal flush. Show that a royal flush (A,K,Q,J,10 of one suit) attracts another royal flush, that is

P(R_2|R_1) > P(R_2)

. Show that a royal flush repels full houses.