Question

In a simulataneous throw of a pair of dice, find the probability of getting: 8 as the sum                         (ii)  a doublet a doublet of prime numbers a doublet of odd numbers a sum greater than 9           (vi)  an even number on first an even number on one and a multiple of 3 on the other neither 9 or 11 as the sum of the numbers on the faces a sum less than 6               (x)   a sum less than 7 a sum more than 7            (xii)   at least once a number other than 5 on any dice even number on each die 5 as the sum                      (xvi)  2 will come up at least once 2 will not come either time

Answer 1

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)`
`P=3/36`
(v)`outcomes= (6,4),(5,5),(4,6),(6,5),(5,6),(6,6)`
`P= 6/36`
(vi)`P= 18/36 = 1/2`
(vii)`P= 6/36 = 1/6`
(viii) `P= 6/36 = 1/6`
(ix) ` P= 10/36`
(x) ` P= 15/36`
(xi) ` P= 6/36`
(xii) ` P= 15/36`
(xiii) ` P= 25/36`
(xiv) ` P= 3*3/36`
(xv) `P= 4/36`
(xvi) ` P= 11/36`
(xvii) ` P= 25/36`