A and B throw with one die for a stake of ₨11 which is to be won by the player who first throw 6. If A has the first throw, then what are their respective expectations?

A and B take turn in throwing two dice. The first to throw 9 being awarded. Show that if A has the first throw, their chances of winning are in the ratio 9:8.

In throwing a die: Does the first player have a greater chace of getting a six?

A dice is thrown three times and the sum of the thrown numbers in 15. Find the probability for which number 4 appears in first throw.

A die is numbered in such a way that its faces show the numbers 1, 2, 2, 3, 3, 6. It is thrown two times and the total score in two throws is noted. Complete the following table which gives a few values of the total score on the two throws : : What is the probability that the total score is : at least 6 ?

A die is numbered in such a way that its faces show the numbers 1, 2, 2, 3, 3, 6. It is thrown two times and the total score in two throws is noted. Complete the following table which gives a few values of the total score on the two throws : : What is the probability that the total score is : even ?

In a hockey match two teams A and B scored same number of goals upto the end of the games so as to decide the winner, the referee asked both the captains to throw a die alternately and decided that the team, whose captain gets a six first, will be declared the winner. If the captain of team A was asked to start, find their respective probabilities of winning the match and state whether the decision of the referee was fair or not.