Question

in a game of musical chairs, the person playing music has been advised to stop playing the music at any time within 1 minute after she starts playing. What is the probability that the music will stop within the first 20 seconds after starting?

Answer 1

$\tt\it\bf\it\large\bm{\mathcal{\fcolorbox{blue}{white}{\red{Question:-}}}}$

In a game of musical chairs, the person playing music has been advised to stop playing the music at any time within 1 minute after she starts playing

$\tt\it\bf\it\large\bm{\mathcal{\fcolorbox{blue}{white}{\blue{Given:-}}}}$

➠ Total time for the game ➨ 1 min ➨60 sec

$\tt\it\bf\it\large\bm{\mathcal{\fcolorbox{blue}{white}{\orange{To\:Find:-}}}}$

➠probability that the music will stop within the first 20 seconds after starting?

$\tt\it\bf\it\large\bm{\mathcal{\fcolorbox{blue}{white}{\pink{Formula\:to\:be\:Used:-}}}}$

➠ $\tt{\red{P(of\; an\;event)=}}$

$= > \frac{favouable \: outcome}{total \: no.of \: outcome}$

$\tt\it\bf\it\large\bm{\mathcal{\fcolorbox{blue}{white}{\green{Solution:-}}}}$

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P(stop within 20sec) < 20/60

➠ 2/6

➠ 1/3

Hence, P(stop within 20sec) is less than

1/3 or P(stop within 20 sec)<1/3

Less than because it is within 20 sec!!

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