Question

Two dice, one red and one yellow are thrown at the same time write down all the possible outcomes what is the probability that the sum of two number appearing on the top of the dice is (a) 8 (b) 13 (c) less than or equal to 12

Answer 1

n (s)=36
(a)8  is n (e)/n (s) = 5/36
(b)13  is n(e)/n(s) = 0/36 =0
(c)less than  or equal to 12  is n(e)/n(s) = 36/36 = 1/1 = 1

Answer 2

Total no.of outcomes = 36
n(S) = 36
(a) Let E be the event of getting sum 8
 No.of favourable outcomes = 4    [ 2,6   6,2  3,5  5,3 ]
n(E) = 4
p(E) = 4/36 = 1/9
(b) Let E be the event of getting a sum 13
n(E) = 0
p(E) = 0/36 = 0
(c) Let E be the event of getting a sum less than 12
n(E) = 36
p(E) = 36/36 = 1