Sangeeta and Reshma, play a tennis match. It is known that the probability of Sangeeta winning the match is 0.62. What is the probability of Reshma winning the match?

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

Two players A and B toss a die alternately he who first throws a six wins the game if A begins what is the probability that he wins? What is the probability of B winning the game?

A tennis match of best of 5 sets is played by two players A and B. The probability that first set is won by A is 1/2 and if he losed the first, then probability of his winning the next set is 1/4, otherwise it remains same. Find the probability that A wins the match.

Suppose the probability for A to win a game against B is 0.4. If A has an option of playing either a “best of 3 games'' or a “best of 5 games match against B, which option should be chosen so that the probability of his winning the match is higher? (No game ends in a draw.)

Two players P_(1)and P_(2) are playing the final of a chess championship, which consists of a series of matches. Probability of P_(1) winning a match is 2/3 and that of P_(2) is 1/3. Thus winner will be the one who is ahead by 2 games as compared to the other player and wins at least 6 games. Now, if the player P_(2) wins the first four matches, find the probability of P_(1) wining the championship.

In a lottery, a porson chosen six different natural numbers at random from 1 to 20, and if thses six number match with the six number already fixed by the lottery committee, be wins the prize. What is the probability of winning the prize in the game? [Hint order of the number is not important.]

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).

Two sets of candidates are competing for the position on the board of directors of a company. The probabilities that the first and second sets will win are 0.6 and 0.4 respectively. If the first set wins, the probability of introducing a new product is 0.8 and the corresponding probability if the second set wins is 0.3. What is the probability that the new product will be introduced ?

Whenever horses a,b,c race together, their respective probabilities of winning the race are 0.3,0.5, and 0.2, respectively. If they race three times, the probability that the same horse wins all the three races, and the probability that a,b,c each wins one race are, respectively

Two groups are competing for the positions of the board of directors of a corporation. The probabilities that the first and the second groups will win are 0.6 and 0.4 respectively. Further, if the first group wins, the probability of introducing a new product is 0.7 and the corresponding probability is 0.3 if the second group wins. Find the probability that the new product is introduced was by the second group.