1) If two indistinguishable dice are rolled, what is the probability of the event {(1, 1), (5, 1), (6, 1)}?
Answer in fraction form
2. What is the corresponding event for a pair of distinguishable dice?
a {(1, 1), (5, 1), (6, 1)}
b {(1, 1), (5, 1), (6, 1), (1, 6), (1, 5)}
c {(1, 1), (5, 5), (6, 6), (1, 6), (1, 5)}
d {(5, 1), (6, 1), (1, 6), (1, 5)}
e {(5, 1), (6, 1)}
Answer in fraction form
2. What is the corresponding event for a pair of distinguishable dice?
a {(1, 1), (5, 1), (6, 1)}
b {(1, 1), (5, 1), (6, 1), (1, 6), (1, 5)}
c {(1, 1), (5, 5), (6, 6), (1, 6), (1, 5)}
d {(5, 1), (6, 1), (1, 6), (1, 5)}
e {(5, 1), (6, 1)}
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1. Prob ({(1, 1), (5, 1), (6, 1)}) = 1/36 + 2/36 + 2/36 = 5/36
2. b {(1, 1), (5, 1), (6, 1), (1, 6), (1, 5)}
2. b {(1, 1), (5, 1), (6, 1), (1, 6), (1, 5)}