A gambler throws two unbiased dice and stands to loss Rs 5 if he fails to throwl a 5 to win Rs 10 if he throws on e five and to win Rs 25 if he throws fives is the game fair ?

A gambler rolls two unbiased dice and stands to loss Rs 2 if he fails to throw a six to win Rs 4 if he throws one six and to win Rs 10 if he throws two sixes is the game fair ?

In a throw of two unbiased dice, a boy gets a total of 5. Find the probability that he will not get a total of 5 in the next throw.

A and B play alternately with a pair of unbiased dice. A wins if he throws 6 before B throws 7 and B wins if he throws 7 before A throws 6. If A begins, show that his chance of winning is (30)/(61) .

In a game, a man wins Rs 100 if he gets 5 or 6 on a throw of a fair die and loses Rs 50 for getting any other number on the die. If he decides to throw the die either till he gets a five or a six or to a maximum of three throws, then his expected gain/loss (in rupees) is:

Two players A and B toss a die alternately he who first throws a six wins the game if A begins what is the probability that he wins? What is the probability of B winning the game?

A and B play for a prize of Rs 99 the prize is to be won by a player who first throes a '3' with one die A first throes and if he fails B throws and if he fails A again throws and so on find their respective expectations

A man throws a die until he gets a number greater than 3 . The probability that he gets 5 in the last throw

A and B play a game in which they take truns to throw 4 coins simultaneously when A throws he receives Rs h where h is the number of heads shown . Find the expectation of A . when B throws 4 heads or 4 tails he receives Rs k, otherwise he receives nothing find the value of k for the game to be fair

A and B play alternately with an unbiased die. He who first throws a 'six' wins. If A begins, show that his chance of winning is (6)/(11) .

In a game, a man wins a rupee for a six and loses a rupee for any other number when a fair die is thrown. The man decided to throw a die thrice but to quit as and when he gets a six. Find the expected value of the amount he "wins" // "loses" .