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?

The probablitiy that Ramesh wins a match is 0.48. Find the probability that Ramesh does not win the match.

In a lottery, a person chosen six different natural numbers at random from 1 to 20, and if these six numbers match with the six numbers already fixed by the lottery committee, he wins the prize. What is the probability of winning the prize in the game ?

The probability that the home team will win an upcoming football game is 0.77, the probability that it will tie the game is 0.08, and the probability that it will lose the game is ......

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 corresponding probability is 0.3 if the second group wins. Find the probability that the new product introduced was by the second group.

Football teams T_1 and T_2 have to play two games against each other. It is assumed that the outcomes of the two games are independent. The probabilities of T_1 winning. Drawing and losing a game against T_2 are (1)/(2),(1)/(6) and (1)/(3) respectively. Each team gets 3 points for a win. 1 point for a draw and 0 point for a loss in a game. Let X and Y denote the total points scored by teams T_1 and T_2 respectively. after two games.P(X>Y) is

Football teams T_1 and T_2 have to play two games against each other. It is assumed that the outcomes of the two games are independent. The probabilities of T_1 winning, drawing and losing a game against T_2 are (1)/(2),(1)/(6) and (1)/(3) respectively. Each team gets 3 points for a win. 1 point for a draw and 0 point for a loss in a game. Let X and Y denote the total points scored by teams T_1 and T_2 respectively. after two games. P(X=Y) is

A doctor is called to see a sick child. The doctor knows (prior to the visit) that 90% of the sick children in that neighbourhood are sick with the flu, denoted by F , while 10% are sick with the measles, denoted by Mdot A well-known symptom of measles is a rash, denoted by R. The probability having a rash for a child sick with the measles is 0.95. however, occasionally children with the flu also develop a rash, with conditional probability 0.08. upon examination the child, the doctor finds a rash. The what is the probability that the child has the measles?

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) .

Two teams A and B play a tournament. The first one to win (n+1) games win the series. The probability that A wins a game is p and that B wins a game is q (no ties). Find the probability that A wins the series. Hence or otherwise prove that sum(r=0)(n)""^(n+1)C_(r)*(1)/(2^(n+r))=1 .