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Difficulty:
85%
(hard)
Question Stats:
33% (02:30) correct
67%
(02:00)
wrong
based on 30
sessions
History
Date
Time
Result
Not Attempted Yet
A bag contains 19 fair coins and one coin with two heads. Marcia removes a coin and tosses it repeatedly; it turns up heads after every toss. How many times will Marcia have to toss this coin until the probability that the coin she removes is the one with two heads is greater than 0.5?
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
17 Apr 2026, 06:30
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I think this question can be framed better. "How mant rime will Marica have to toss this coin to guarantee that the coin having two heads is greater than 0.5?". The current phrasing could mean having the coin with 2 heads straight away and this way it is always greater than than 0.5 thus warranting the fact that I can have any number of tosses to ensure above 0.5 IMO. Kindly check it out.
I believe the pigeonhole principle is what is intended here.
I believe the pigeonhole principle is what is intended here.
kevincan
