Consider the experiment where a pair of fair dice is thrown.
Let X denote the random variable whose
value is determined by taking the maximum of the spots showing on
either of the two dice thrown.
For example, if a 3 and a 5 were thrown, then X would
take the value of Minimum(3,5) = 3.
The range of values that X can assume are the
positive integers {1,2,3,4,5,6}.
Please give the corresponding probabilities for the values
of X given below.
Pr(X = 1) =
Pr(X = 2) =
Pr(X = 3) =
Pr(X = 4) =
Pr(X = 5) =
Pr(X = 6) =

Further, find the probability that X is divisible by 3.
Probability that X is divisible by 3 equals