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Suppose you have two fair dice, each with 6 faces. • One die is coloured blue and has the following faces: {1,1, 1, 2, 2, 3}. • The other die is coloured red, and has the following faces {1,1, 2, 2, 3, 3}. You found in Term Test 3 that the probability distributions for these dice are 1/2 т — 1 1 fon 11

Suppose you have two fair dice, each with 6 faces. • One die is coloured blue and has the following faces: {1,1, 1, 2, 2, 3}. • The other die is coloured red, and has the following faces {1,1, 2, 2, 3, 3}. You found in Term Test 3 that the probability distributions for these dice are 1/2 т — 1 1 fon 11

A First Course in Probability (10th Edition)
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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Pls help ASAP. pls look at the first pic to do the question. 

Suppose you have two fair dice, each with 6 faces. • One die is coloured blue and has the following faces: {1,1,1,2, 2, 3}. • The other die is coloured red, and has the following faces {1, 1, 2, 2, 3, 3}. You found in Term Test 3 that the probability distributions for these dice are 1/2 m = 1 рв (т) — { 1/3 т%3D 2 1 for all n e {1,2, 3}, 3 PR(N) 1/6 m= 3 where pB corresponds to the blue die, and PR corresponds to the red die.
Transcribed Image Text:Suppose you have two fair dice, each with 6 faces. • One die is coloured blue and has the following faces: {1,1,1,2, 2, 3}. • The other die is coloured red, and has the following faces {1, 1, 2, 2, 3, 3}. You found in Term Test 3 that the probability distributions for these dice are 1/2 m = 1 рв (т) — { 1/3 т%3D 2 1 for all n e {1,2, 3}, 3 PR(N) 1/6 m= 3 where pB corresponds to the blue die, and PR corresponds to the red die.
3. Consider the dice defined in the box at the top of the page. Suppose that you roll both dice. Let E be the event that the sum of both dice is 4, and let F be the event that the blue die shows an odd number. (i) Compute the probability P(E|F). (ii) Compute the probability P(E). (iii) Compute the probability P(F|E).
Transcribed Image Text:3. Consider the dice defined in the box at the top of the page. Suppose that you roll both dice. Let E be the event that the sum of both dice is 4, and let F be the event that the blue die shows an odd number. (i) Compute the probability P(E|F). (ii) Compute the probability P(E). (iii) Compute the probability P(F|E).
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