In a game, a person is declared winner, if he gets 4 consecutive tails in five throws of a coin. What is the probability of A to win if he has got a tail in the first throw?
Choose the correct choice from the following answers:
A) 1/5  B) 1/4  C) 1/8  D) 1/16  E) 1/6
First throw = Tails   For a person to win, the next 3 throws must be tails and the 5th throw can be heads or tails. i.e. TTTTH or TTTTT   So the person can win in 2 ways if the first throw is Tails.   Total number of outcomes for the next 4 throws = 2^4 = 16   Probability = 2/16 = 1/8   Answer: 1/8
<result>C</result>
In a game, a person is declared winner, if he gets 4 consecutive tails in five throws of a coin. What is the probability of A to win if he has got a tail in the first throw?