Two dice are thrown. If it is known that the sum of numbers on the dice was less than 6 the probability of getting a sum as 3 is

Step-by-step solution

Let E_ A = The event that the sum of numbers on the dice was less than 6 . aligned &E_ A = (1,4),(4,1),(2,3),(3,2),(2,2),(1,3),(3, &1),(1,2),(2,1),(1,1) & n (E_ A )=10 aligned E_ B = The event that the sum of numbers on the dice is 3 aligned & E_ B = (1,2),(2,1) & n (E₂ )=2 & Required probability = 2 10 = 1 5 aligned