Mark the correct alternative in the following:

A rifleman is firing at a distant target and has only 10% chance o hitting it. The least number of rounds, he must fire in order to have more than 50% chance of hitting it at least once is


Given:


Chances of hitting a target in a trial=10%=


Chances of not hitting the target = 90%=


Total probability = 50%=5


Let number of trials=n


So number of trials missed=n-1 to hit on nth trial


Total probability


= 5





Take log on both sides




n=6.58


n7


So one must hit it seven times.

1