Question

A coin is weighted so that the probability of Heads is five times the probability of Tails. This coin is flipped

twice. What is the probability that both Heads and Tails are flipped?
A.5/36
B.8/25
C.5/24
D.None of the above

Answer 1

If a coin is weighted so that the probability of heads is five times the probabily of tails, that means :

+) P(head) + P(tail) = 1
+) P(head) = 5P(tail)

Therefore, P(head) = 5/6 ; P(tail) = 1/6

For both head and tail to be flipped, the events must happen together.

Therefore, we have the probabilty that both head and tail is flipped = 5/6 x 1/6 = 5/36.