Joe, Keitaro, and Luis play tennis. To decide who will play against each other in the first match, they put their names in a hat and choose two names without looking.What subset of the sample space, A, represents the complement of the event in which Joe plays in the first match?
Two students from a group of eight boys and 12 girls are sent to represent the school in a parade.If the students are chosen at random, what is the probability that the students chosen are not both girls?




A padlock has a four-digit code that includes digits from 0 to 9, inclusive.What is the probability that the code does not consist of all odd digits if the same digit is not used more than once in the code?
A random number generator is used to create a list of 150 single-digit numbers. Of those 150 numbers, 72 are odd and 78 are even. The number 9 was generated 15 times.To the nearest whole percent, what is the experimental probability of an odd number other than 9 being generated?
Five students, Adriana, Ben, Chandra, Diana, and Ernesto, would each like one of the four spots at the regional science fair. Their names are placed in a hat, and four names are chosen at random to decide who attends the fair.What is the theoretical probability that Chandra will be chosen as one of the science fair participants?
A briefcase has a three-digit lock code that does not include zero as a digit.What is the probability that the lock code consists of all even digits if the same digit is not used more than once in the lock code?
Four runners, Fran, Gloria, Haley, and Imani, compete on a relay team. Haley is the first runner in the relay. The other runners can run in any order.What is the sample space showing the possible orders of the other three runners?
A rectangular board has an area of 648 square centimeters. The triangular part of the board has an area of 162 square centimeters. A dart is randomly thrown at the board.

Patty, Quinlan, and Rashad want to be club officers. The teacher who directs the club will place their names in a hat and choose two without looking. The student whose name is chosen first will be president and the student whose name is chosen second will be vice president.Which choice represents the sample space, S, for this event?
A dartboard consists of a circle inscribed in a square. The area of the circle is square inches. The area of the square is 64 square inches.

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