Let’s assume there is 1 fake coin out of 1000 coins. (
P[Coin=fake] = 0.001 ) The probability of showing head for fake
coin is 0.9 (P[Head | Coin=fake] = 0.9). For normal coin, the
probability of showing head is 0.5 (P[Head | Coin=normal] =
0.5).
i. Bayes theorem, If you have a coin, and
toss it one time. You got a head. What is the probability that this
coin is fake?
ii. If you toss a coin 10 times, you...