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A friend rolls a cheap six-sided die many times. He reports that the probabilities of the possible outcomes are about as follows: Outcome 123456 Probability

A friend rolls a cheap six-sided die many times. He reports that the probabilities of the possible outcomes are about as follows:

Outcome123456Probability0.20.20.20.10.10.2

Is this a legitimate assignment of probabilities?

No, the total probability for all faces is wrong.

No, the 3 and 4 faces are opposite each other, so they must have the same probability.

No, not all the values given are possible values for a probability.

No, the faces must all have the same probability.

Yes.

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