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Joint Entrance Examination
Mathematics
Probability
Question 208
Question 208 of 417
Easy
NUMERICAL
Probability of a man hitting a target is
1
10
\dfrac{1}{10}
10
1
. Find the least number of shots so that the probability of hitting at least once exceeds
1
4
\dfrac14
4
1
. Answer: 3
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Official solution
\[1-(0.9)^n > \frac14 \implies (0.9)^n<0.75 \implies n_{\min}=3\]
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