2013 AMC 8 Problem 8
Attempt Problem 8 of the 2013 AMC 8 below, then check your answer against the video solution and professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2013 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
8.
A fair coin is tossed times. What is the probability of at least two consecutive heads?
Answer: C
Small hint:
List the possible outcomes of three coin tosses.
Big hint:
Count only outcomes containing .
Video solution:
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Written solution:
The outcomes with at least two consecutive heads are , , and . There are equally likely outcomes from three fair coin tosses, so the probability is .
Thus, C is the correct answer.
Problem 8 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
- 1992 AMC 8
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