At their annual picnic, 18 students in the math & science departments at a local university decide to play a softball game. Twelve of the 18 students are math majors and 6 are science majors. To divide into two teams of 9, one of the professors put all the players' names into a hat and drew out 9 players to form one team, with the remaining 9 players forming the other team. The players were surprised when one team was made up entirely of math majors. Is it possible that the names weren't adequately mixed in the hat, or
At their annual picnic, 18 students in the math & science departments at a local university decide to play a softball game. Twelve of the 18 students are math majors and 6 are science majors. To divide into two teams of 9, one of the professors put all the players' names into a hat and drew out 9 players to form one team, with the remaining 9 players forming the
other team. The players were surprised when one team was made up entirely of math majors. Is it possible that the names weren't adequately mixed in the hat, or could this have happened by chance? Design and carry out a simulation using a calculator to help answer this question.
a. What is the probability that there will be one team with all math majors?
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