Two six-sided dice are rolled (one red and one green). Some possibilities are (R

Question

Two six-sided dice are rolled (one red and one green). Some possibilities are (Red = 1, Green = 5) or (Red = 2, Green = 2) etc. (a) How many total possibilities are there? ____ For the rest of the questions, we will assume that the dice are fair and that all of the possibilities in (a) are equally likely. (b) What is the probability that the sum on the two dice comes out to be 12? _____ (c) What is the probability that the sum on the two dice comes out to be 11? ________ (d) What is the probability that the numbers on the two dice are equal? _____

Explanation / Answer

a) Total number of possibilities = 6*6 = 36

b) Sum 12 can occur in only 1 way i.e. (6, 6). Hence,

P(Sum 12) = 1/36

c) Sum 11 can occur in two ways i.e. (6, 5) or (5, 6). Hence,

P(Sum 11) = 2/36 = 1/18

d) P(Equal numbers) = 6/36 = 1/6

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