In a simulataneous throw of a pair of dice, find the probability of getting: (i) 8 as the sum                         (ii)  a doublet (iii) a doublet of prime numbers (iv) a doublet of odd numbers (v) a sum greater than 9           (vi)  an even number on first (vii) 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 a sum more than 7            (xii)   at least once (xiii) a number other than 5 on any dice (xiv) even number on each die (xv) 5 as the sum                      (xvi)  2 will come up at least once (xvii) 2 will not come either time

Explanation

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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