Question

Franklin has three coins, two fair coins (head on one side and tail on the other side) and one two-headed coin. He randomly picks one and flips it twice. Suppose B stands for the event that the first result is head, and C represents the event that the second result is also head. Are B and C independent? Are B and C independent, conditioned on the event that the two-headed coin was picked?

Answer 1

B and C are not independent events

Explanation:

This is a probability question, basically on independent events.

B and C are said to be independent if the occurrence of either event does not affect the occurrence of the other.

And now considering the fact that C will always present a head any way anyhow, the occurrence

of C will affect the outcome of B and C.

Hence B and C are not independent events