Bernoulli Riddles

These riddles will test your understanding of Bernoulli's Process and the Negative Binomial Distribution. Don't get too discouraged if you can't solve them, though.

Q: A coin is flipped with a bias of 0.5. What is the probability mass function of the number of heads obtained after 10 flips?

				P(X = xประก = (1 - 0.5^x) * (0.5^10)

A: See the Bernoulli Process Probability Mass Function Positive for more information.

Q: A group of people are at a party. If you flip a coin with a bias of 0.3, and the first person gets a head, what is the probability that the next person at the party will get a head?

				P(Y = 1|X=1) = 0.3 * P(X = 1) / P(X = 1)

A: See the Conditional Probability page for more information.