Mary is on the student body council. The council will select 3 members

1.	Mary is on the student body council. The council will select 3 members at random. There is 50% chance that Mary will be chosen. How many students are there on the council?
Answer» INTUITIVELY, half the council needs to be chosen, so the council must have six members. For a formal proof, if n is the number on the council, the total number of POSSIBLE SELECTIONS is the number of ways to choose 3 from n. The number that include Marla is the number of ways to choose 2 from n-1 (Marla and TWO others). The ratio of these must be 1/2 from which you can find n. Hope this helps. #BE BRAINLY

Mary is on the student body council. The council will select 3 members at random. There is 50% chance that Mary will be chosen. How many students are there on the council?

Answer»

INTUITIVELY, half the council needs to be chosen, so the council must have six members.

For a formal proof, if n is the number on the council, the total number of POSSIBLE SELECTIONS is the number of ways to choose 3 from n. The number that include Marla is the number of ways to choose 2 from n-1 (Marla and TWO others). The ratio of these must be 1/2 from which you can find n.

Hope this helps.

#BE BRAINLY

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Mary is on the student body council. The council will select 3 members at random. There is 50% chance that Mary will be chosen. How many students are there on the council?​

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Mary is on the student body council. The council will select 3 members at random. There is 50% chance that Mary will be chosen. How many students are there on the council?