Mehul falls in love <3

Mehul loved a girl. He wanted her to be his valentine. So in order to impress her he showed off his shooting skills. She showed his accuracy by shooting heart shaped balloons. The probability of him hitting the target is 0.75.

The girl will get impressed only if the probability of him hitting the target at least once is more than 0.99.

How many minimum number of times must he fire so as to make the girl his valentine?


The answer is 4.

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1 solution

Adarsh Kumar
Feb 13, 2016

P ( A ) > 0.99 1 P ( A ) < 0.01 ( 1 4 ) n < 0.01 4 n 1 > 25 n 4. P(A)>0.99\\ \Longrightarrow 1-P(A)<0.01\\ \Longrightarrow (\dfrac{1}{4})^n<0.01\\ \Longrightarrow 4^{n-1}>25\\ \Longrightarrow n \geq 4. .And done!

Nice one. @Mehul Arora will fall in love with it XD.

Aditya Kumar - 5 years, 4 months ago

Wow xD

I have a hypothetical Valentine, Yay! :P

Mehul Arora - 5 years, 4 months ago

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You'll always have a hypothetical valentine XP

Aditya Kumar - 5 years, 4 months ago

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True. Absolutely.

Mehul Arora - 5 years, 4 months ago

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