1 blue dice and 2 red Dice are thrown....what is the probability that the no. appeared on blue dice is always greater than both the no. appeared on the 2 red dice..  Choose the correct choice from the following
A) 55/216
B) 56/216
C) 57/216
D) 54/216
E) 53/216
if the no. on blue dice is 2 then 2 red dice can take (1,1) value = 1^2   if the no. on blue dice is 3 then 2 red dice can take (1,1)(1,2)(2,1)(2,2) = 2^2   if the no. on blue dice is 4 then 2 red dice can take (1,1)(1,2)(2,1)(2,2)(1,3)(2,3)(3,2)(3,1)(3,3) = 3^2   Similarly, if the no. on blue dice is 5 then 2 red dice can take = 4^2   and if the no. on blue dice is 6 then 2 red dice can take = 5^2   therefor, probability = total no. of favourable outcome/total no. of possible outcome   = 1^2+2^2+3^2+4^2+5^2 / 216   = 55/216   55/216NSWER:55/216
<result>A</result>
1 blue dice and 2 red Dice are thrown....what is the probability that the no. appeared on blue dice is always greater than both the no. appeared on the 2 red dice..