Tossing coins imagine tossing a fair coin 3 times. (a) what is the sample space for this chance process? (b) what is the assignment of probabilities to outcomes in this sample space?

We are given that a fair coin is tossed 3 times.

We know that if a fair coin is tossed 3 times, then there are 8 possible outcomes.

(a) what is the sample space for this chance process?

The sample space associated with tossing a fair coin three times are:

Ω = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

Where:

H denotes the head and T denotes the tail.

(b) what is the assignment of probabilities to outcomes in this sample space?

We are given that a fair coin is tossed 3 times, which means that all the possible outcomes in the above mentioned sample space has equal chance being selected. Therefore, the assignment of probabilities to outcomes in this sample space is same for all outcomes and is given below:

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