GATE | GATE CS 1996 | Question 5

Two dice are thrown simultaneously. The probability  that at least one of them will have 6 facing up is
(A) 1/36
(B) 1/3
(C) 25/36
(D) 11/36


Answer: (D)

Explanation: There can be two cases:

  • Case 1: Exactly one dice has 6 facing up and other dice can have any number from 1,2,3,4,5 facing up. There will be 5*2=10 such occurrences.
  • Case 2: Both of the dices having 6 coming up. Only one possible case exists for the same.

Thus total favorable cases = 10+1 = 11
While total cases = 6*6=36
Which gives the desired probability as: 11/36.

This explanation is contributed by Pradeep Pandey.


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