You have two coins. one is fair and the other has a 3/4 chance of heads on each toss (the tosses are independent). You choose a coin randomly and flip it twice. If you get 1 head and 1 tail, what is the probability you chose the fair coin?
I know that the probability of having heads and tails given that it is a fair coin, is 1/4 and i also know the probability of having heads and tails given that is a biased coin is 3/16. but I dont know how to get P(F) probability a coin is Fair or P(B) the probability the coin is biased
I know that the probability of having heads and tails given that it is a fair coin, is 1/4 and i also know the probability of having heads and tails given that is a biased coin is 3/16. but I dont know how to get P(F) probability a coin is Fair or P(B) the probability the coin is biased