Question

1.) Consider the following. (Assume that the coins are distinguishable and that what is observed are the faces or numbers that face up.) HINT [See Examples 1-3.]

Three coins are tossed; the result is at most one head.

Which of the following sets of elements are included in the sample space? (Select all that apply.)

HTT

TTH

THT

THH

HHT

HHH

TTT

HTH

List the elements of the given event. (Select all that apply.)

THT

TTT

THH

HTT

HHH

TTH

HHT

HTH

2.) Consider the following. HINT [See Examples 1-3.]

You are deciding whether to enroll for Psychology 1, Psychology 2, Economics 1, General Economics, or Math for Poets; you decide to avoid economics.

Which of the following sets of elements are included in the sample space? (Select all that apply.)

Economics 1

General Psychology

Psychology 2

General Economics

Psychology 1

Math for Poets

List the elements of the given event. (Select all that apply.)

Math for Poets

Psychology 1

General Psychology

Economics 1

Psychology 2

General Economics

Answer 1

1)

Three coins are tossed; the result is at most one head.

Which of the following sets of elements are included in the sample space? (Select all that apply.)

HTT,TTH,THT,THH,HHT,HHH,TTT,HTH (all the events belong to the sample space)
List the elements of the given event. (Select all that apply.)

HTT,TTH,THT,TTT (only 4 elements belong to the event set)

2.) Consider the following. HINT [See Examples 1-3.]

You are deciding whether to enroll for Psychology 1, Psychology 2, Economics 1, General Economics, or Math for Poets; you decide to avoid economics.

Which of the following sets of elements are included in the sample space? (Select all that apply.)

Economics 1,General Psychology,Psychology 2,General Economics,Psychology 1,Math for Poets (all the elements belong to sample space)

List the elements of the given event. (Select all that apply.)

Math for Poets,Psychology 1,General Psychology,Psychology 2 (the two economics courses don't belong as we are avoiding economics)

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