Answered: When you roll two dice with all numbers…

When you roll two dice with all numbers equally likely, what is the probability that the sum of the numbers on the two dice is even? Round your answer to one decimal place.

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 you roll two dice with all numbers equally likely, what is the probability that the sum of
the numbers on the two dice is even? Round your answer to one decimal place.

Expert Solution

Step 1

$g i v e n d a t a, r o l l t w o d i c e, t o t a l o u t c o m e s : = 6^{2} = 36 s a m p l e s p c e : {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6) (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6) (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6) (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}$

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