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Mathematics

In a musical chairs game, a person has been advised to stop playing the music at any time within 40 seconds after its start. What is the probability that the music will stop within the first 15 seconds ?

Probability

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Answer

The favourable results = 0 sec to 15 sec and the total results = 0 sec to 40 sec.

∴ Number of favourable outcomes = 15

and

Number of possible outcomes = 40.

P(that music will stop within 15 seconds) = No. of favourable outcomesNo. of possible outcomes=1540=38\dfrac{\text{No. of favourable outcomes}}{\text{No. of possible outcomes}} = \dfrac{15}{40} = \dfrac{3}{8}.

Hence, the probability that the music will stop within the first 15 seconds = 38\dfrac{3}{8}.

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