SOLUTION: A candidate believes that 2/3 of the registered voters in his district will vote for him in the next election. If two registered voters are independently selected at random, find

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Question 493647: A candidate believes that 2/3 of the registered voters in his district will vote for him in the next election. If two registered voters are independently selected at random, find the probability that neither will vote for him in the next election.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A candidate believes that 2/3 of the registered voters in his district will vote for him in the next election. If two registered voters are independently selected at random, find the probability that neither will vote for him in the next election.
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P(both will vote for him) = (2/3)^2 = 4/9
P(neither will vote for him) = (1/3)^2 = 1/9
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Cheers,
Stan H.