The members of a chess club took part in a round robin competition in which each player plays with other once. All members scored the same number of points, except four juniors whose total score ere 17.5. How many members were there in the club? Assume that for each win a player scores 1 point, 1/2 for a draw, and zero for losing.

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 pont 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.

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 probabillities 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 equal to

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 probabillities 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 equal to

Football teams T_(1)and T_(2) have to play two games are independent. The probabilities of T_(1) winning, drawing and lossing a game against T_(2) are 1/6,1/6and 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