A coin is flipped 100 times The first 50 flips result in hea

A coin is flipped 100 times. The first 50 flips result in “heads”. The next 49 flips result in “tails”. What is the probability that the next and final flip is a tail?

Solution

We know that if coin is tossed fairly, all tosses are independent of each other. Thus probability of tail in next toss is simply 0.5