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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 isa. 11b.9c. 7d. 5`
7 years ago

147 Points
```										Dear Vaibhav
let he fire n number of times.
so he will miss (n-1) times and at nth time he will hit
total probability
= 1/10  + 9/10 *1/10 + 9/10 *9/10 *1/10 + .....(9/10)n-1 *1/10 = 50/100
=1/10[ 1+ (9/10) + (9/10)2 + ............(9/10)n-1] =5/10
or          [1- (9/10)n]/(1-9/10) =5
0r         1-(9/10)n =1/2
(9/10)n  =1/2
nlog9/10  = log1/2
n =   log.5 / log.9
=6.58
so he must hit at least 7 times
Please feel free to post as many doubts on our discussion forum as you can.If you find any question Difficult to understand - post it here and we will get you the answer and detailed  solution very  quickly. We are all IITians and here to help you in your IIT JEE preparation.All the best. Regards,Askiitians ExpertsBadiuddin

```
7 years ago
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