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 a probability of a player winning a particular tennis match is 0 . 72 . What is the probabillity of the player loosing 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 chase championship, which consists of a series of match Probability of P_1 , winning a match is 2/3 and that of P_2 is 1/3. The 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.]

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.

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 groups are competing for the position on 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 coresponding probability is 0.3 if the second group wins. Find the probability that the new product introduced was by the second group.

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. a. 8//50 ,9//50 b. 16//100 ,3//100 c. 12//50 , 15//50 d. 10//50 ,8//50