Two dice are thrown simultaneously. Write down the sample space and find the probability that (i) the sum of the spots on the dice is greater than 12, (ii) the sum of spots on the dice is divisible by 3, (iii) the sum of the obtained numbers is 7.

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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The six planes of a die is numbered by 1,3,3,5,6,6 and the six planes of another
die is numbered by 2,2,4,4,5,6. Two dice are thrown simultaneously. Write down
the sample space and find the probability that
(i) the sum of the spots on the dice is greater than 12, (ii) the sum of spots on the dice is divisible by 3, (iii) the sum of the obtained numbers is 7.

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