Homework SourseA coin is tossed three times or until the first heads appea
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}
Solution
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]
![A coin is tossed three times , or until the first \](/WebImages/24/a-coin-is-tossed-three-times-or-until-the-first-heads-appea-1059000-1761552925-0.webp "A coin is tossed three times , or until the first \")
