Question

I throw darts repeatedly. Assume that on each throw I have a 1% chance of hitting the bullseye, independently of all other throws. (Note that this implies for example that repetition doesn’t help my aim get any better; in my case that might not be such a bad assumption.) Find the chance that it takes me more than 100 throws to hit the bullseye.

Answer 1

compute the probability that the first 100 are not bulls eyes

Answer 2

cnt do it

Answer 3

since the probability you get is bulls eye is \(.01\) the probabilty you do not is \(.99\) and therefore the probabilty that the first 100 are not bulls eyes is \(.99^{100}\)

Answer 4

thnx