A pair of standard 6sided dice are rolled If the result on t

A pair of standard 6-sided dice are rolled. If the result on the first die is a 2, what is the probability that the sum of the dice is less than 5?

Will it be 1/12 1/6 1/5 1/3 or None of the above?

Solution

First dice shows 2

Then for sum to be less than 5

second die should show either 1 or 2

then only sum would be <5

Hence prob = Prob for second die 1 or 2

= 2/6 =1/3