Two dice are thrown simultaneously: Find the probability of its occurrence is (1)The sum as a prime number (2) A total of at least 10 (3) A doublet of even number (4) A multiple of 2 on one dice and a multiple of 3 on the other dice. (5) A multiple of 3 as the sum

Explanation

Sample space for total number of possible outcomes
`{(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)}`

Total number of outcomes `=36`


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