SOLUTION: Two fair dice are rolled 5 times. Let the random variable x represent the number of times that the sum 7 occurs. The table below describes the probability distribution. Find the va

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Question 348560: Two fair dice are rolled 5 times. Let the random variable x represent the number of times that the sum 7 occurs. The table below describes the probability distribution. Find the value of the missing probability.
x P(x)
0 0.401877572016461
1
2 0.160751028806584
3 0.0321502057613169
4 0.00321502057613169
5 0.000128600823045267
Answer by Jk22(389) About Me  (Show Source):
You can put this solution on YOUR website!
the sum 7 is given by 1&6 2&5 3&4 and reverse order, hence 6 possibilities over 6*6=36

so P(x)=(1/6)^x*(5/6)^(5-x)

Verif : we find
P(5)=1/6^5=0.0001286
P(0)=(5/6)^5=0.4018

however P(2) gives other result (0.01607 ?)

P(1)=1/6*(5/6)^4=0.0803