In a musical chair game, the person playing the music has been advised to stop playing the music at any time within 2 minutes after she starts playing. What is the probability that the music will stop within the first half minute after starting?

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14

29

34

13

answer is A.

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Detailed Solution

Given that in a musical chair game, the person playing the music has been advised to stop playing the music at any time within 2 minutes after she starts playing.
We need to find the probability when the music will stop within the first half minute after starting.
Probability of an event E is defined as:

P (E) = \frac{Number of favorable outcomes}{Total number of possible outcomes}

Since the music can stop at any time within 2 minutes, therefore, the total number of possible outcomes is 2.
According to question, she stops the music within the first half minute.
So, the number of favorable outcomes will be

12

.
Let

E

be the event when the music will stop within the first half minute after starting.
Now, the probability when the music will stop within the first half-minute after starting is: