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Our class is creating a new academic team, the Data Managers. The team will have 4...

Our class is creating a new academic team, the Data Managers. The team will have 4 members to perform different tasks: collector, analyser, grapher, and recorder. 10 people in class want to be on the team, so we pick a random team out of the 10.

a) If exactly 4 boys volunteer, what is the probability that the team is all boys or no boys? Evaluate your answer.

b) What is the probability that Student 1 and Student 2 are on the team? Evaluate your answer.

c) With two teacher coaches, the team of four takes a picture (6 people in picture). What is the probability that the teachers are together in the picture? Evaluate your answer.

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