Consider the same model of two rolls of a tetrahedral die, with all 16 outcomes equally likely. Find the probability of the following events:
a) The value in the first roll is strictly larger than the value in the second roll.
a)3/8
b)1/2
a)3/8
a) The value in the first roll is strictly larger than the value in the second rol
b) The sum of the values obtained in the two rolls is an even number.
1/2
a)
1(1/4)^2+2(1/4)^2+3(1/4)^2 = 6(1/4)^2 = 6/16 = 1/2
b) does not have the condition in a) it was not stated that way.
8/16
Erratum:
a)
1(1/4)^2+2(1/4)^2+3(1/4)^2 = 6(1/4)^2 = 6/16 = 3/8
a)3/8
b)7/16