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In a simultaneous throw of a pair of dice, find the probability of getting:
  an even number on first an even number on one and a multiple of 3 on the other (viii)neither 9 or 11 as the sum of the numbers on the faces
(ix)a sum less than 6
(x)   a sum less than 7 (xvi)  2 will come up at least once
(xvii)2 will not come either time

Text Solution

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total outcomes are:36
(i)`outcomes= (6,2), (5,3), (4,4),(3,5),(2,6) = 5`
`P = 5/36`
(ii)`outcomes= (1,1),(2,2),(3,3),(4,4),(5,5),(6,6)`
`P= 6/36`
(iii)`outcomes = (1,1),(2,2),(3,3),(5,5)`
`P= 4/36`
(iv)`outcomes= (1,1),(3,3),(5,5)`
...
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