What is the probability that this third shot our James Bond takes will be worse than the second shot?

Question

James Bond is caught up in a mysterious scenario where the evil villain has him blindfolded. He somehow breaks through the handcuffs but is unable to get the blindfold off. Upon searching, he comes across a bow and 3 arrows. He can hear the villain speak, and thus tries to take a shot at him. He launches the first arrow, it misses the villain. He then launches the second arrow and it misses by a greater margin.

What is the probability that this third shot our James Bond takes will be worse than the second shot?

Answer 1

Probability of hitting the target is =1/2
Probability of not hitting the target is also= 1/2
James missed the first shot and than second shot by a greater margin, now in third shot either he will not miss the target by greater margin or will miss it by greater margin so total conditions is 2. in which favourable condition is to miss the target by greater margin. so P=1/2 is your answer.