We have an unfair coin The probability of having a tail is P

We have an unfair coin. The probability of having a tail is P(x = 0) = P0, and the probability of having a head

is P(x = 1) = 1P0. Let’s throw the coin N times. What is the probability of having the same outcome from all these N times?

Solution

P(all the same) = P(All heads) + P(all tails)

P(All the same) = P₀^N + (1-P₀)^N [ANSWER]