Two dices are rolled. If both dices have six faces numbered 1 ,   2 ,   3 ,   5 ,   7…

Two dices are rolled. If both dices have six faces numbered 1, 2, 3, 5, 7 and 11, then the probability that the sum of the numbers on the top faces is less than or equal to 8 is:
  1. 49
  2. 1736
  3. 512
  4. 12

Solution

nS=36

The possible ordered pairs are 1,1, 1,2, 1,3, 1,5, 1,7,2,1, 2,2, 2,3, 2,5, 3,1, 3,2, 3,3, 3,5, 5,15,2,5,3,7,1

nE=5+4+4+3+1=17

So, PE=1736

Asked in: JEE Main 2021 (17 Mar Shift 1)

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