A player rolls a die and receives the same number of rupees as the number of dots on the face that turns up. What should the player pay for each roll if he wants to make a profit of one rupee per throw of the die in the long run?

A player rolls a die and receives the same number of rupees as the number of dots on the face that turns up. What should the player pay for each roll if he wants to make a profit of one rupee per throw of the die in the long run? Correct Answer Rs. 2.50

Calculation:

⇒ Every number on the die will come the same number of times because they have equal probability

⇒ The average of all such number = (6 + 1)/2 = 3.5

⇒ The earning of on every roll = 3.5

⇒ Profit should be one rupee on every roll hence charge will be on every roll = 3.5 - 1 = 2.50

∴ The required result will be 2.50.