`Aa n dB` participate in a tournament of best of 7 games. It is equally likely that either `A` wins or `B` wins or the game ends in a draw. What is the probability that `A` wins the tournament.

It is given that the probability of winning a game is (3)/(7) . What is the probability of lossing the game.

If the probability of winning a game is 0.3, what is the probability of loosing it?

A and B toss a coin alternately till one of them gets a head and wins the game. If A starts the game, find the probability that B will win the game.

A and B toss coin alternately till one of them gets a head and wins the game. If A starts first, find the probability the B will win the game.

India and Australia play a series of 7 one-day matches. Each team has equal probability of winning a match. No match ends in a draw. If the probability that India wins atleast three consecutive matches can be expressed as (p)/(q) where p and q are relatively prime positive integers. Find the unit digit of p.

Eight runners in a race are equally likely to win the race. What is the probability that the race will be won by the runner in lane 1 OR the runner in lane 8?

A game of chance consists of spinning an arrow which is equally likely to come to rest pointing to all of the numbers 1, 2, 3, ...,12. What is the probability that it will point to (i) 10 (ii) an odd number (iii) a number which is multiple of 3?

A and B throw a dice alternately til any one gets a 6 on the and win the game. If A begins the game find the probabilities of winning the game.

Two persons A and B get together once a weak to play a game. They always play 4 games . From past experience Mr. A wins 2 of the 4 games just as often as he wins 3 of the 4 games. If Mr. A does not always wins or always loose, then the probability that Mr. A wins any one game is (Given the probability of A's wining a game is a non-zero constant less than one).

In a T-20 tournament, there are five teams. Each teams plays one match against every other team. Each team has 50% chance of winning any game it plays. No match ends in a tie. Statement-1: The Probability that there is an undefeated team in the tournament is (5)/(16) . Statment-2: The probability that there is a winless team is the tournament is (3)/(16) .