S11 probability question help Watch

JacobAlevels
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Members of a wine tasting club are all married couples.
Prob that husband is retired = 0.7
Prob that wife is retired = 0.4
Prob that husband is retired | wife is retired = 0.8
For a randomly chosen couple, find the probability that both are retired
I've worked out that I need to get the probability of wife retired | husband retired but how do I get it? I need to find wife retired intersection husband retired for that and I can't do that because that's the question :confused:
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krisshP
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(Original post by JacobAlevels)
Members of a wine tasting club are all married couples.
Prob that husband is retired = 0.7
Prob that wife is retired = 0.4
Prob that husband is retired | wife is retired = 0.8
For a randomly chosen couple, find the probability that both are retired
P(H)=0.7
P(W)=0.4
P(H | W)=0.8

You want P(H n W) or P(W n H) as you want the probability that the husband and wife are retired.

S11:eek:
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