When I swing at a nail, I drive it all the way in with probability 1/2. With probability 1/4, I hit it half-way in, and with 1/4 probability I miss it entirely. I'm pretty sure that if I swing 4 times at a nail, I'll get it all the way in almost all the time. Let's see if I'm right.

Question

anonymous · Answer

a) What sequences of 4 swings could leave the nail still not knocked all the way in?
b) For each sequence in (a), find the probability that sequence occurs.
c) What is the probability that I fail to get the nail driven completely in?

anonymous · Answer

u could miss all 4 of ur swing, or hit it half way in on the first swing and miss the rest of ur swings

anonymous · Answer

swings*