# In a simultaneous 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 nor 11 as the sum of the numbers on the faces(ix) a sum less than 6(x) a sum less than 7(xi) a sum more than 7(xii) at least once(xiii) a number other than 5 n 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

Sample space = 36

(i) n(E) = 5

(ii) n(E) = 6

(iii) n(E) = 3

(iv)

(v)

(vi)

(vii)

(viii) Number of event with sum 9 or 11 = 6

Number of events of not getting a sum of either 9 or 11 = 36 – 6 = 30

(ix)

(x)

(xi)

(xii)

(xiii)

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