Need answer for Probability question

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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=

Oct 22nd, 2015

Thank you for the opportunity to help you with your question!

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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Oct 22nd, 2015

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