## Related questions with answers

Question

Two boys and four girls are on a quiz bowl team. Determine which methods are fair for choosing one of the members randomly to be the team captain. Since there are more girls, assign each girl a number and choose that number at random from a box. _____

Solution

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1 of 2The method of randomly choosing one of the members to be team captain is fair, when all members are equally likely to be chosen.

We assign a number to each girl and choose a number at random, thus it is then only possible to choose a girl while it is impossible to choose a boy. We are then not equally likely to select each member as we have no chance of selecting a boy.

Since all members are not equally likely to be chosen, the method is not fair.

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