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Solution:-

a) The probability that you will role a sum of 4 or doubles is 0.2222.

Total number of outcomes = 36

The outcomes in which we role a sum of 4 or doubles = 8 ((1,1), (2,2), (3, 3), (4, 4),(5, 5),(6, 6),(1, 3),(3, 1))

The probability that you will role a sum of 4 or doubles = 8/36

The probability that you will role a sum of 4 or doubles is 0.2222.

b) The probability that you will role a sum of 8 and doubles is 0.0278.

Total number of outcomes = 36

The outcomes in which we role a sum of 8 and doubles = 1 (4, 4)

The probability that you will role a sum of 8 and doubles = 1/36

The probability that you will role a sum of 8 and doubles is 0.0278

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