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A coin is tossed three times , or until the first \"heads\" appears , whichever

ID: 3439003 • Letter: A

Question

A coin is tossed three times , or until the first "heads" appears , whichever occurs first.
What is the sample space for this random experiment?
A. S={H, TH, TTH, TTY} B. S={ H, HH, HHH} C. S={ T, HT, HHT, HHH} D. S= { HHH, HHT, HTH, THH, HTT, THT, TTH, TTT} F. S= {H, TH, TTH} A coin is tossed three times , or until the first "heads" appears , whichever occurs first.
What is the sample space for this random experiment?
A. S={H, TH, TTH, TTY} B. S={ H, HH, HHH} C. S={ T, HT, HHT, HHH} D. S= { HHH, HHT, HTH, THH, HTT, THT, TTH, TTT} F. S= {H, TH, TTH} A coin is tossed three times , or until the first "heads" appears , whichever occurs first.
What is the sample space for this random experiment?
A. S={H, TH, TTH, TTY} B. S={ H, HH, HHH} C. S={ T, HT, HHT, HHH} D. S= { HHH, HHT, HTH, THH, HTT, THT, TTH, TTT} F. S= {H, TH, TTH}

Explanation / Answer

Case 1: Heads appears immediately.

H

Case 2: Heads appear on the second toss,

TH

Case 3: Heads appear on the third, or the process terminated.

TTH, TTT

Thus, the answer is

A. S = {H, TH, TTH, TTT} [option a]

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