If We Roll a Pair of Fair Dice and Count

question 6

Multiple Choice

If we roll a pair of fair dice and count the number of aces (one dot) showing, the probability model is as follows:

Back in the 17th century, some gamblers thought that the probability of at least one ace (i.e., one or more aces) when rolling two dice was 1/6 + 1/6. Is that true?

• A) Yes.
• B) No, it's larger than 1/6 + 1/6.
• C) No, it's smaller than 1/6 + 1/6.
• D) Sometimes it's larger and sometimes it's smaller.
• E) Impossible to say.

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