For married couples living in a certain area, regarding a school board election,
ID: 3233014 • Letter: F
Question
For married couples living in a certain area, regarding a school board election, the probability the wife will vote is 0.5, the probability her husband will vote is 0.2 and the probability they both will vote is 0.05.
a. Find the probability that the husband votes and his wife doesn't or that the wife votes and her husband doesn't.
b. Find the probability that a husband will vote provided his wife is going to vote.
c. Find the probability that a wife will vote provided her husband is going to vote.
Explanation / Answer
P(wife will vote) = 0.5
P(husband will vote) = 0.2
P(both will vote) 0.05
a) P(husband votes and his wife doesn't or that the wife votes and her husband doesn't) = P(only husband will vote) + P(only wife will vote)
= [P(husband will vote) - P(both will vote)] + [P(wife will vote) - P(both will vote)]
= [0.2 - 0.05] + [0.5 - 0.05]
= 0.6
b) P(husband will vote | wife will vote) = P(both will vote) / P(wife will vote)
= 0.05 / 0.5
= 0.1
c) P(wife will vote | husband will vote) = P(both will vote) / P(husband will vote)
= 0.05 / 0.2
= 0.25
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