(30 points) A classroom is composed of 10 students: 5 men and 5 women. The students...

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(30 points) A classroom is composed of 10 students: 5 men and 5 women. The students are assigned into pairs at random, and each pair is assigned to complete a different task (T1, T2, T3, T4, T5). (a) How many possible configurations for the pair assignments exist? (Note: each configuration consists of pairs and tasks assignments for all students). (b) What is the probability that all pairs consist of same-gender members? (c) If student A and B are friends, what is the probability that they are assigned to the same task together? (30 points) A classroom is composed of 10 students: 5 men and 5 women. The students are assigned into pairs at random, and each pair is assigned to complete a different task (T1, T2, T3, T4, T5). (a) How many possible configurations for the pair assignments exist? (Note: each configuration consists of pairs and tasks assignments for all students). (b) What is the probability that all pairs consist of same-gender members? (c) If student A and B are friends, what is the probability that they are assigned to the same task together?

Answer rating: 100% (QA)

a The number of possible configurations for the pair assignments is computed here as Total ways t... View the full answer