Consider two foursided tetrahedral dice one red and one gree

Consider two four-sided (tetrahedral) dice, one red and one green. The four faces of each die are marked with the numbers 1, 2, 3, and 4, respectively. When such a die is rolled, the outcome is the number on the side facing down when the die comes to rest (the other three sides are facing up). Rolling both dice once yields 16 equally likely outcomes as displayed in the following sample space.

Red Die

Green Die

Outcomes

1

2

3

4

1

(1, 1)

(2, 1)

(3, 1)

(4, 1)

2

(1, 2)

(2, 2)

(3, 2)

(4, 2)

3

(1, 3)

(2, 3)

(3, 3)

(4, 3)

4

(1, 4)

(2, 4)

(3, 4)

(4, 4)

What is the probability that both dice have the same number on the side facing down?

Select one:

a. 0.0625

b. 0.1250

c. 0.1875

d. 0.2500

e. 0.7500

Solution

the probability that both dice have the same number on the side facing down = 4/16 = 1/4 = 0.250