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1. A fair dice is rolled twice. Let X1 and X2 be the numbers that show...

1. A fair dice is rolled twice. Let X1 and X2 be the numbers that show up on rolls 1 and 2. Let X¯ be the average of the two rolls: X¯ = (X1 + X2)/2. Find the probability that X >¯ 4.

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