Consider the experiment where a pair of fair dice is thrown.
Let
X denote the random variable whose
value is determined by multiplying the number of spots showing on
the one die by the number of spots showing on the other.
The range of values that
X can assume are the
positive integers
{1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,25,30,36}.
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) =
Pr(X = 8) =
Pr(X = 9) =
Pr(X = 10) =
Pr(X = 12) =
Pr(X = 15) =
Pr(X = 16) =
Pr(X = 18) =
Pr(X = 20) =
Pr(X = 24) =
Pr(X = 25) =
Pr(X = 30) =
Pr(X = 36) =
Further, find the probability that X is divisible by 3.
Probability that X is divisible by 3 equals
You can earn partial credit on this problem.