Description
In each of four political races, Democrats are believed to have a 60% chance of winning. If so, what is the probability that Democrats will win (please round four decimal places .XXXX)
None of the elections? p=
At least one of the elections P=
Explanation & Answer
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None of the elections?
Probability of winning = 0.6
Probability of Not winning = 0.4
Thus the probability of not winning any of the elections is:
P(winning None of the elections) =0.4*0.4*0.4*0.4 = 0.0256
At least one of the elections;
P (winning at least one election) = (0.6*0.4*0.4*0.4) + (0.6*0.6*.04*0.4) + (0.6*0.6*.0.6*04) + (0.6*0.6*.0.6*0.6) = 0.0384 +0.0576+0.0864 +0.1296= 0.312
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