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A man firing at a distant target has 10% chance of hitting the taget in one shot.The number of times he must fire at the target to have about 50%chance of hitting the target is a. 11 b.9 c. 7d. 5

A man firing at a distant target has 10% chance of hitting the taget in one shot.The number of times he must fire at the target to have about 50%chance of hitting the target is


a. 11


b.9


c. 7d. 5

Grade:12

1 Answers

Ramesh V
70 Points
11 years ago

prob of hitting target is 1/10

loosing target is 9/10

so in order to succed in nth shot, he has to fail in (n-1) shots and succed in nth shot

so , here (9/10)(n-1)*(1/10) = (1/2)

on solving n comes nearly to 7 where chace of hitting is arnd 53%

so, n = 7

--

regards


Ramesh

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