A game is played with a fair die. A player throws this die. If the result is 3, 4, 5, or 6, that result is the player's score. If the result is 1 or 2, the player throws the die a second time and the sum of the two numbers resulting from both throws is the player's score. Events A and B are defined as follows: A: The player's score is 4, 5, 6, or 7 B: The player has two throws Show that P(A)= 13/18

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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A game is played with a fair die. A player throws this die. If the result is 3, 4, 5, or 6, that result is the player's score. If the result is 1 or 2, the player throws the die a second time and the sum of the two numbers resulting from both throws is the player's score. Events A and B are defined as follows:

A: The player's score is 4, 5, 6, or 7

B: The player has two throws

Show that P(A)= 13/18

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