five dice are thrown a what is the probability that non of t

five dice are thrown

a. what is the probability that non of them fall \"one\"?

b.what is the probaility that neither \"one\" nor \"two\" is thrown?

c. what is the probability that \"two\" is the lowest number thrown?

Solution

5 dice are thrown

Prob for 1 = 1/6

No of 1 is binomial with n =5 and p = 1/6 = 0.1667

a) P(x=0) =0.4018

b) P(X not equal to 1 and not equal to 2) for a single trial = 4/6 = 2/3

Hence p = 0.6667

n =5

P(for 5 trials ) = 0.004113

c) Prob for 2 is the lowest no

= Prob of no one in 5 trials

= 0.4018