Question

Suppose we have three coins. The first coin has heads on both sides. The second coin has tails on both sides. The third coin has head on one side and tail on the second side. One coin is randomly selected and tossed. The upper side of this coin turns out to be a head. What is the probability that the other side of this coin is tail?

• A. \(\frac{1}{2}\)
• B. \(\frac{1}{3}\)
• C. \(\frac{1}{4}\)
• D. \(\frac{1}{6}\)

Answer 1

The Correct Option is B

The only coins that can show heads are the first and third coins.
The third coin has a tail on the other side. 
So, the probability is: 
\(P(\text{Tail on other side}) = \frac{1}{2}\) 
 Thus, the correct answer is (b).