Tom and Jerry play a game of alternately throwing an unfair coin. First one to get head wins. If Tom starts the game, he has 62 . 5 % chance of winning the game. Suppose this coin is tossed 5 times, then the probability of getting exactly 3 heads is

Step-by-step solution

Tom and Jerry play a game of alternately throwing an unfair coin. First one to get head wins. The coin is unfair, hence, let, the probability of getting a head when the coin is tossed is x then the probability of getting a tail when the coin is tossed is 1 - x . If Tom starts the game, he has 62 . 5 % = 62 . 5 100 = 5 8 chance of winning the game. He can win the game in first toss of the coin or second toss or third toss and so on means the cases are H or T T H or T T T T H or T T T T T T H and so on. Thus, the pro