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A certain circular stopwatch has exactly 60 second marks and a single

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KarunMendiratta
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A certain circular stopwatch has exactly 60 second marks and a single [#permalink] New post   04 Mar 2021, 10:59
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A certain circular stopwatch has exactly 60 second marks and a single hand. If the hand of the watch is randomly set to one of the marks and allowed to count 10 seconds, what is the probability that the hand will stop less than 10 marks from the 53-second mark?

A. \(\frac{1}{6}\)
B. \(\frac{19}{60}\)
C. \(\frac{1}{3}\)
D. \(\frac{29}{60}\)
E. \(\frac{1}{2}\)
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Re: A certain circular stopwatch has exactly 60 second marks and a single [#permalink] New post   05 Mar 2021, 04:34
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B and D are the same answer. I got this wrong because I selected D.
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Re: A certain circular stopwatch has exactly 60 second marks and a single [#permalink] New post   05 Mar 2021, 07:59
lassolasso wrote:
B and D are the same answer. I got this wrong because I selected D.


lassolasso

Thank you so much. I have made the required change!
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Re: A certain circular stopwatch has exactly 60 second marks and a single [#permalink] New post   05 Mar 2021, 08:11
KarunMendiratta wrote:
A certain circular stopwatch has exactly 60 second marks and a single hand. If the hand of the watch is randomly set to one of the marks and allowed to count 10 seconds, what is the probability that the hand will stop less than 10 marks from the 53-second mark?

A. \(\frac{1}{6}\)
B. \(\frac{19}{60}\)
C. \(\frac{1}{3}\)
D. \(\frac{29}{60}\)
E. \(\frac{1}{2}\)


OA Explanation:

less than 10 marks from the 53-second mark: means it can go 9 marks ahead (3 second mark) or 9 marks before (44 second mark)
So, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 01, 02 (19 Marks)

Therefore, the required probability = \(\frac{19}{60}\)

Hence, option B
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Re: A certain circular stopwatch has exactly 60 second marks and a single [#permalink] New post   17 Apr 2024, 16:19
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Re: A certain circular stopwatch has exactly 60 second marks and a single [#permalink]
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