Franklin has three coins, two fair coins (head on one side and tail on the other side) and one two-headed coin. He randomly pick

Question

3 years ago

5

Franklin has three coins, two fair coins (head on one side and tail on the other side) and one two-headed coin. He randomly pick

s 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?

Mathematics

1 answer:

Rainbow [258] · Answer 1 · 2022-04-10T16:08:40+03:00

Answer:

<h2> B and C are not independent events </h2>

Step-by-step 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.

<em>Hence B and C are not independent events</em>