Question

If two six sided dice are rolled, what is the probability of rolling a 5 on at least one of the dice? a) I/36 b) 10/36 c) 12/36 d) 11/36

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Answer #1

For two sided dice, sample space is as below:

1 2 1,6 2 (2,1) (2,2)2,3)2,4) 2,5) (2,6) 3 3,1) (3,2)(3,3) (3,4) (3,5) (3,6) 1,1 1,2 1,3 1,4 1,5 5(5,1)5,2(5,3)(5,4) (5,5) 5,6) 6 (6,1 6,2)(6,36,4) (6,5) (6,6)

Here we see that for 11 times we find rolling on 5 at lease one of the dice.

So the required probability is 11/36

So answer is d. 11/36

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