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Question 118

Two standard fair six-sided dice are rolled and the two scores are added. How many of the 36 equally likely outcomes give a total of 7, and what is the probability of that total as a fraction out of the 36 outcomes?

  1. 6 outcomes, a probability of 6/36Bonne réponse
  2. 3 outcomes, a probability of 3/36, taking 1 with 6 and 6 with 1 as one case
  3. 7 outcomes, a probability of 7/36
  4. 1 outcome, a probability of 1/36, since 7 is a single total

Explication

The pairs totalling 7 are 1 with 6, 2 with 5, 3 with 4, 4 with 3, 5 with 2 and 6 with 1, which is 6 of the 36 pairs, so the probability counts those 6 against 36. Counting only 3 pairs treats 1 with 6 as the same result as 6 with 1, but the dice are separate objects and the sample space of 36 already keeps those cases apart.

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Question 118: Two standard fair six-sided dice are rolled and the two… · Statistics and Probability · Questena