1. A section of an problem contains two multiple-choice questions, each with thr

Question

1.

A section of an problem contains two multiple-choice questions, each with three answer choices (listed "A", "B", and "C"). List all the outcomes of the sample space.

{AA, AB, AC, BA, BB, BC, CA, CB, CC}

{A, B, C}

{AB, AC, BA, BC, CA, CB}

{AA, AB, AC, BB, BC, CC}

2.

A fair coin is tossed four times. What is the probability that the sequence of tosses is HHHT?

0.125

0.25

0.0625

0.038

3.

210

35

6

5,040

{AA, AB, AC, BA, BB, BC, CA, CB, CC}

{A, B, C}

{AB, AC, BA, BC, CA, CB}

{AA, AB, AC, BB, BC, CC}

2.

A fair coin is tossed four times. What is the probability that the sequence of tosses is HHHT?

0.125

0.25

0.0625

0.038

3.

Evaluate the following: .

210

35

6

5,040

Explanation / Answer

1) Option-A) {AA, AB, AC, BA, BB, BC, CA, CB, CC}

2) P(H) = P(T) = 0.5

P(HHHT) = 0.5 * 0.5 * 0.5 * 0.5 = 0.0625

Option-C) 0.0625

3) Picture nto given in the question.

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