A pair of fair dice is rolled. Let E denote the event that the number falling uppermost on the first die is 4, and let F denote the event that the sum of the numbers falling uppermost is 6. (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 pair of fair dice is rolled. Let E denote the event that the number falling uppermost on the first die is 4, and let F denote the event that the sum of the numbers falling uppermost is 6. (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)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

(a) Compute

P(F).

(b) Compute

P(E ∩ F).

P(F | E).

(d) Compute

P(E).

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Expert Solution

Step 1

given data

roll two dice.

for rolling one dice S: {1,2,3,4,5,6}

total outcomes for rolling 2 dice = 6*6 = 36

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