سؤال 119

A standard six-sided die is rolled 600 times and shows a 6 on 180 of those rolls. What does this evidence suggest about the die?

It is fair, because 6 is one of six faces
It is biased towards 6, since about 100 sixes were expectedپاسخ درست
It is biased away from 6, since 180 is fewer than 600
Nothing can be suggested, because a die can show any face

توضیح

A fair die would show a 6 on about one sixth of the rolls, which is 100 times in 600, and 180 stands far above that over a long run, so the results point to a die that favours 6. Calling the die fair because it has six faces skips the comparison altogether, since the six faces are exactly what predicts 100, and the evidence lies in the gap between 100 and 180.

توضیح

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