De'Jzaun and Sandra toss a loaded coin, where Pr(H) = p > 0. The first to obtain

Question:

De'Jzaun and Sandra toss a loaded coin, where Pr(H) = p > 0. The first to obtain a head is the winner. Sandra goes first but, if she tosses a tail, then De'Jzaun gets two chances. If he tosses two tails, then Sandra again tosses the coin and, if her toss is a tail, then De'Jzaun again goes twice (if his first toss is a tail). This continues until someone tosses a head. What value of p makes this a fair game (that is, a game where both Sandra and De'Jzaun have probability 1/2 of winning)?
Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Question Posted: