Why is tossing a coin considered to be a fair way of deciding which team should get the ball at the beginning of a football game?

In a game of lottery arranged at a Durgapuja fair, it is decided that one who gets the same number by tossing a dice two times will be the winner.To try his lot, Arun tosses the dice two times continuously. Find the probabilities of the events of his (i) being a winner

In a game of lottery arranged at a Durgapuja fair, it is decided that one who gets the same number by tossing a dice two times will be the winner.To try his lot, Arun tosses the dice two times continuously. Find the probabilities of the events of his(ii)not being a winner

A fair coin is tossed 10 times. Find the probability of getting exactly five heads.