A single fair die is rolled twice. a) Determine the number of points in the sample space. b) Construct a tree diagram and

Question

A single fair die is rolled twice.
a) Determine the number of points in the sample space.
b) Construct a tree diagram and determine the sample space.
c) Determine the probability that a double (a 1, 1 or 2, 2, etc.) is rolled.
d) Determine the probability that a sum of 11 is rolled.
e) Determine the probability that a sum of 10 is rolled.
f) Are you as likely to roll a sum of 11 as you are of rolling a sum of 10?
What is the sample space? Choose the correct answer below.
A. 11, 13, 15, 22, 24, 26, 31, 33, 35, 42, 44, 46, 51, 53, 55, 62, 64, 66
B. 12, 13, 14, 15, 16, 21, 23, 24, 25, 26, 31, 32, 34, 35, 36, 41, 42, 43, 45, 46, 51, 52, 53, 54, 56, 61, 62, 63, 64, 65
c. 11, 12, 13, 14, 15, 16, 21, 22, 23, 24, 25, 26, 31, 32, 33, 34, 35, 36, 41, 42, 43, 44, 45, 46, 51, 52, 53, 54, 55, 56, 61, 62, 63, 64, 65, 66
D. 11, 12, 13, 14, 15, 16, 21, 22, 23, 24, 25, 26, 31, 32, 33, 34, 35, 36
c) The probability that a double is rolled is.
(Simplify your answer.)

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