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. a. Let A be the event that X is an even number. Find P(A). b. Let B be the event that X is 2. Find P(B).

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. a. Let A be the event that X is an even number. Find P(A). b. Let B be the event that X is 2. Find P(B).

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

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.

a. Let A be the event that X is an even number. Find P(A).
b. Let B be the event that X is 2. Find P(B).

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A single die is rolled twice. the set of 36 equally likely outcomes is [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._][5.1][5.2][5.3][/.4][5.6][6.1][6.2][6.3][6.4][6.5][6.6].find the probability of getting two numbers whose sum is greater than 9 and less than 13.show your work and formula I'd using any. a)5/36 b)1/6 c)0 d)7/36
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A pair of dice is rolled. The outcomes are summarized in the following table: (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) 1. Find the probability, that the sum is 10 (adding the two numbers will equal to 10). Give your answer as a decimal, rounded to two decimal digits. 2.Find the probability, that the sum is more than 10 (which means 11 or 12). Give your answer as a decimal, rounded to two decimal digits. 3. Find the probability, that the sum is 6 OR the sum is more than 10. Give your answer as a decimal, rounded to two decimal digits. 4.Find the probability, that the sum is even. Give your answer as a decimal, rounded to two decimal digits. 5.Find the probability, that the sum is even AND the sum is more than 10. Give your answer as a decimal, rounded to two decimal digits.
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A pair of dice is rolled. The outcomes are summarized in the following table: (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) 1. Find the probability, that the sum is 11 (adding the two numbers will equal to 11). Give your answer as a decimal, rounded to two decimal digits. 2. Find the probability, that the sum is more than 10 (which means 11 or 12). Give your answer as a decimal, rounded to two decimal digits. 3. Find the probability, that the sum is 6 OR the sum is more than 10. Give your answer as a decimal, rounded to two decimal digits. 4.Find the probability, that the sum is even. Give your answer as a decimal, rounded to two decimal digits. 5.Find the probability, that the sum is even OR the sum is more than 10. Give your answer as a decimal, rounded to two decimal digits. 6.Find the probability,…
The game of Dungeons and Dragons uses nonstandard dice. Consider a die with eight sides marked one, two, three, four, five, six, seven, and eight. Write a sample space for rolling a pair of these dice. Die Two (CD) (C.0) 1 2 3 4 (1, 1) O) (D (1, «) (2, 3) (D.0) 1 2 (O.0) (2, 2) (3, 2) (D.0) (O.O) (3, 1) (D.0) (0.0) (4, 3) 3 (4, 4) 4 Die One (5, 1) (D.0) (5,3) (O.0) 6 (O.0) (6, 2) (D.0) (7, 4) (0, 3) (D.0) (s, 4) (7. 1) (0.0) (0.0) 7 8 (0.0) (8, 2) Die Two 6 7 8 O) (C (2,기) (3,5) (□.□) (3, 기 (4, 6) (D.0) (1, 5) J.0) (2. 6) (1, 8) 3 (4, ) (s, 6) (O.0) (C (6, 8) 4 Die One (5, 5) □) (□.O) (,기) (7.8) (7. 6) (O.0) 7 (9,5) (□.O) (3, 기 (□.□)