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Grinstead-Snell-Probability
· Problem 4.1.55
Conditional Probability
Mathematics · attraction-repulsion-poker-hands
Problem
Let
R
i
R_i
R
i
be the event that the
i
i
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
)
P(R_2|R_1) > P(R_2)
P
(
R
2
∣
R
1
)
>
P
(
R
2
)
. Show that a royal flush repels full houses.
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