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?

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

In a multiple choice question, there are five alternative answers of which one or more than one are correct. A candidate will get marks on the question, if he ticks all the correct answers. If he decides to tick answer all random, then the least number of choices should he be allowed, so that the probability of his getting marks on the question exceeds (1)/(8) is

We saw in this chapter that there are four main stakeholders when it comes to forests and wildlife. Which among these should have the authority to decide the management of forest produce? Why do you think so?

A box contains N coins, m of which are fair and the rest are biased. The probability of getting a head when a fair coin is tossed is 1/2 while it is 2/3 when a biased coin is tossed. A coin is drawn from the box at random and is tossed twice. The first time it shows head and the second time it shows tail. What is the probability that the coin drawn is fair?

6 balls marked as 1,2,3,4,5 and 6 are kept in a box. Two players A and B start to take out 1 ball at a time from the box one after another without replacing the ball till the game is over. The number marked on the ball is added each time to the previous sum to get the sum of numbers marked on the balls taken out. If this sum is even, then 1 point is given to the players. the first player to get 2 points is declared winner. at the start of the game, the sum is 0. if A starts to take out the ball, find the number of ways in which the game can be won.

Outcomes of which of the following experiments are equally likely? 1. Getting a digit 1, 2, 3, 4, 5 or 6 when a die is rolled. Selecting a different colour ball from a bag of 5 red balls, 4 blue balls and 1 black ball. Winning in a game of carrom. Units place of a two digit number selected may be 0, 1, 2, 3, 4, 5, 6, 7, 8 or 9. Selecting a different colour ball from a bag of 10 red balls, 10 blue balls and 10 black balls. Raining on a particular day of July

Of the members of three athletic teams in a certain school, 21 are in the basketball team, 26 in hockey team and 29 in the football team. 14 play hockey and basket ball, 15 play hockey and football, 12 play football and basketball and 8 play all the three games bow many members are there in all?

The minimum number of times a fair coin needs to be tossed, so that the probability of getting at least two heads is at least 0.96 is :

In a game of tossing 3 coins person gets ₹ 5 if all heads or all tails obtained. He looses ₹ 3 if he gets one or two heads. Obtain mathematical expectation to win on the average per game.