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Q.

In a game of musical chair, the person playing music has been advised to stop playing the music at any time within 1 min after she starts playing. What is the probability that the music will stop within the first $20 s$ after its starting?

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a

13

b

23

c

12

d

32

answer is A.

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Detailed Solution

Given, in a game of musical chair, the person playing music has been advised to stop playing the music at any time within 1 min after she starts playing.
The probability of an event occurring is calculated by dividing the number of favourable outcomes by the total number of events, that is,

Probability of an event = Number of favourable outcomes Total number of outcomes

Music has to be stopped in 1 minute.
1 minute = 60 seconds
Within the first 20 seconds, the music is paused.
So, Probability of the event

= \frac{20}{60}

= \frac{1}{3}

Hence, probability that the music will stop within the first

after starting is

\frac{1}{3} .

Hence, the correct option is 1.

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