A fair 6-faced die is rolled twice. Letting E and F represent the outcomes of the two

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A fair 6-faced die is rolled twice. Letting E and F represent the outcomes of the two tosses, compute the following probabilities:

(a) The sum of E and F is 11.

(b) The sum of E and F is even.

(c) The sum of E and F is odd and greater than 3.

(d) E is even and less than 6, and F is odd and greater than 1.

(e) E is 4, and the sum of E and F is odd.

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