In a dice game , a player pays a stake of ₹1 for each throw of a die. She receives ₹5, if the die shows a 3, ₹ 2, if the die shows a 1 or 6 and nothing otherwise, then what is the player's expected profit per throw over a long series of throws?

In a dice game, a player pays a stake of ₹ 1 for each throw of a die. She receives ₹ 5 if the die shows a 3, ₹ 2 if the die shows a 1 or 6 and nothing otherwise. What is the player's expected profit per throw over a long series of throws ?

In a dice game, a player pays a stake of Rs.1 for each throw of the dice. He receives Rs.5 if the dice shows up 3, Rs.2 if the dice shows 1 or 6, and noticing otherwise. What is the player's expected profit per throw over a long series of throws?

In 60 throws of a die, the outcomes were noted as below: If die is thrown at random, then what is the probability that upper face of a die shows an even prime number?

In a throw of three dice, the probability that at least one die sows up 1, is

Sameer throws , an ordinary die . What is the probability that he throws 2 or 5 ?

(i) find the variance of the number obtained on a throw of an unbaised die (ii) what is the mathematical expectation of the sum of points on n dice ?

What is the chance of throwing a 6 at least once in 5 trials of an unbiased die?

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?