Two dice are rolled one after another. Construct a sample space and determine the probability that the sum of the dots on the dice total a number greater than 4 if the second die is a 3.

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Mathematics

Alia Wagner

15 November, 18:56

Two dice are rolled one after another. Construct a sample space and determine the probability that the sum of the dots on the dice total a number greater than 4 if the second die is a 3.

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Allan · Answer 1

There are 6 combinations with the second die having a 4 where the total of the dots is more than 3. The sample space has 36 outcomes. Six of these outcomes fit the requirement in the question. The probability of success is the total number of outcomes that fit the requirement in the question (6 outcomes) divided by the sample space (36 outcomes).