Question

You only have a coin with an unfair chance of getting a heads.

Come up with a system where you can get an equal chance of heads or tails using this coin.

(Let probability of getting heads = p)
(Assume probability of heads < 1)

Answer 1

Hint:
Probability of getting heads = p
Probability of getting tails = (1-p)

and p(1-p) = (1-p)p

Answer 2

let's say that the probablity of getting heads with this coin is 1, what could you possibly do to get an equal chance to winning

Answer 3

Okay, let's assume this coin still lands on either heads or tails.

Answer 4

you gave it away with this hint p(1-p) = (1-p)p lol

Answer 5

the only required condition for this to work if you don't have p(head) =1 or p(tails) =1

Answer 6

0,1 -> 1
1,0 -> 0

Answer 7

Excellent.

Answer 8

nice ques tho :)

Answer 9

Essentially you can use what you came up with to follow these steps:
1. Flip Coin once
2. Flip Coin Again
3. If it's (Heads,Heads) or (Tails,Tails), go back to step 1
4. The coin-flip from step 2 will be your outcome.