You are playing a game that uses two regular six-sided dice. LGive exact answers

Question

You are playing a game that uses two regular six-sided dice. LGive exact answers in fraction form.] a) What is the probability that you will roll double sixes? The probability is b) What is the probability that you will roll a sum of three? The probability is c) What is the probability that you will roll a sum of ten or more? The probability is d) What is the probability that you will roll double sixes or a sum of three? The probability is e) What is the probability that you will roll double sixes or a sum of ten or more? The probability is

Explanation / Answer

Total sample space = 6 * 6 = 36

a) P(double sixes) = 1/36

b) Sample space for sum of 3 = {(1,2), (2,1)}

P(sum of three) = 2/36 = 1/18

c) Sample space for sum of ten or more = {(4,6), (5,5), (6,4), (5,6), (6,5), (6,6)}

P(sum of ten or more) = 6/36 = 1/6

d) Sample space for double sixes or sum of 3 = {(1,2), (2,1), (6,6)}

P(double sixes or sum of 3) = 3/36 = 1/12

e) Sample space for double sixes or sum of ten or more = {(4,6), (5,5), (6,4), (5,6), (6,5), (6,6)}

P(double sixes or sum of ten or more) = 6/36 = 1/6

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