Respuesta :

The probability that the total of the number on the dice exceeds 6 is 1/12.

When the two fair dice are thrown the total possible outcome are,

= 6 x 6

= 36

So, there are a total of 36 possible outcomes.

If one of the dice shows 3, then the total favorable outcomes that the sum of the numbers on the dice exceeds 6 is,

(3+4)(3+5)(3+6)

Hence, the total possible favorable outcomes are 3.

Probability of an event = Total favorable outcomes/total possible outcomes.

Probability that the sum exceeds 6 = 3/36

Probability that the sum exceeds 6 = 1/12

So, Probability that the sum exceeds 6 is 1/12.

To know more about probability, visit,

https://brainly.com/question/13604758

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