Question 1084186
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M = patient is male
S = patient is in for surgery
M and S = patient is male AND in for surgery


Given info:
P(M) = 0.6
P(M and S) = 0.2


Using that info, we can compute the conditional probability
P(S|M) = [P(M and S)]/P(M)
P(S|M) = 0.2/0.6
P(S|M) = 2/6
P(S|M) = 1/3
P(S|M) = 0.33333 (this is approximate)
P(S|M) = 33.333% (this is approximate)


There is roughly a 33.333% chance he is in for surgery given this patient is male.</font>