When two fair dice are rolled, 36 equally likely outcomes are possible as shown below. (1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6) (2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6) (3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6) (4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6) (5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6) (6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6) Let X = Maximum of the numbers shown on the dice. We know the mean is 4.473 and the standard deviation is 1.405. If A is an event that X is an even number, we know that P(A) is 1/2. If B is an event that X=2. We know P (B) = 1/36. a. For A and B defined in parts c and d, find P(A and B). b. For A and B defined in parts c and d find P(A or B) using the generalized addition rule

When two fair dice are rolled, 36 equally likely outcomes are possible as shown below. (1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6) (2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6) (3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6) (4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6) (5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6) (6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6) Let X = Maximum of the numbers shown on the dice. We know the mean is 4.473 and the standard deviation is 1.405. If A is an event that X is an even number, we know that P(A) is 1/2. If B is an event that X=2. We know P (B) = 1/36. a. For A and B defined in parts c and d, find P(A and B). b. For A and B defined in parts c and d find P(A or B) using the generalized addition rule

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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