Question

Suppose there are m different hunters and n different rabbits. Each hunter selects a rabbit uniformly at random independently as a target. Suppose all the hunter shoot at their chosen targets at the same time and every hunter hits his target. Consider a particular Rabbit 1.
[i] What is the probability that Rabbit 1 survives?
[ii] Suppose m=7, n=5. What is the probability that no rabbit survives?

Answer 1

My guess is [(n-1)/n]^m

Answer 2

n rabbits, getting hit by m hunters : (m+1) x (m+1) x (m+1) ... n times = (m+1)^n

Answer 3

+1 accounts for a not being selected for target case

Answer 4

"n rabbits, getting hit by m hunters : (m+1) x (m+1) x (m+1) ... n times " ???

Answer 5

think of rabbits as empty spaces,
hunters as letters to fill the spaces