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A die has six faces marked 0, 1, 1, 1, 6, 6. Two such dice are thrown together and total scores are recorded. How many different scores are possible?

Answer:

Total number of possible outcomes = 6^{2} = 36

Number of favourable outcomes are (0, 0), (0, 1), (0, 6), (1, 0), (1, 1), (1, 6), (6, 0), (6, 1), (6, 6) i.e., 9.

Total of both numbers are 0, 1, 6, 2, 7, 12

So, 6 different scores are possible.

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