MathDB

We would like to give a present to one of

100

children. We do this by throwing a biased coin

k

times, after predetermining who wins in each possible outcome of this lottery.
Prove that we can choose the probability

p

of throwing heads, and the value of

k

such that, by distributing the

2^k

different outcomes between the children in the right way, we can guarantee that each child has the same probability of winning.

3