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?

Amit and sumit throw with one die for a prize of Rs. 121, which will be won by a player who throws 5 first. If Amit starts, then find the mathematical expectation for sumit.

Hari and Krishna throw with one die for prize of Rs. 121, which will bw won by a player who throws 4 first. If Hari starts, then the mathematical expectation for Krishna is

A and B take turns in throwing two dice, the first to throw 10 being awarded the prove, show that if A has the first throw, their chance of winning are in the ratio 12:11.

If a dice is thrown twice, then find the probability of getting 1 in the first throw only.

A dice is thrown. The probability that the first time 1 occurs at the even throw is

A die is thrown three times, if the first throw is a four, find the chance of getting 15 as the sum.

A die is thrown three times, if the first throw is a four, find the chance of getting 15 as the sum.

A die is thrown three times and the sum of the 3 numbers shown is 15. The probability that the first throw was a four, is

A and B throw alternately a pair of dice. A wins if he throws 6 before B throws 7 and B wins if he throws 7 before A throws 6. Find their respective chance of winning, if A begins.

Dice A has 4 red and 2 white faces whereas dice B has 3 red and 3 white faces. A coin is tossed once, if it falls head then the game continues by throwing the dice A and if it falls tail then the dice B is to be used. If red turns up at first 3 throws, then the probability that dice A is being used is