A pair of fair dice is rolled. Let E denote the event that the number falling uppermost on the first die is 2, and let F denote the event that the sum of the numbers falling uppermost is 8. (Round your answers to three decimal places.) (a) Compute P(F). (b) Compute P(E ∩ F). (c) Compute P(F | E). (d) Compute P(E).

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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A pair of fair dice is rolled. Let E denote the event that the number falling uppermost on the first die is 2, and let F denote the event that the sum of the numbers falling uppermost is 8. (Round your answers to three decimal places.)

(a) Compute P(F).

(b) Compute P(E ∩ F).

(c) Compute P(F | E).

(d) Compute P(E).

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