Use the given? table, which lists six possible assignments of probabilities for

Question

Use the given? table, which lists six possible assignments of probabilities for tossing a coin? twice, to determine which of the assignments of probabilities are consistent with the definition of a probability model. Upper A comma Upper B comma Upper C comma Upper F ?is/are consistent with the definition of a probability model.?? ?(Use a comma to separate answers as? needed.) Assignments HH HT TH TT A one fourth one fourth one fourth one fourth B 0 0 0 1 C one seventh one seventh five fourteenths five fourteenths D one fourth one fourth negative one fourth one half E one fourth one fourth one fourth one eighth F one fourteenth two sevenths two sevenths five fourteenths

Explanation / Answer

Correct option:

A. one fourth, one fourth, one fourth, one fourth

EXPLANATION:

For tossing a coin twice, the sample space is:
{HH, HT, TH, TT}

There are 4 possiblities in total.

Each possibility is equally likely

Total probability = 1.

Thus, probability of each combination = 1/4.

Thus, Assignment of probabilities consistent with the definition of a probability model is:

one fourth, one fourth, one fourth, one fourth

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