A fifth grade class consist of 16 boys and 14 girls. If onepupil is chosen each

Question

A fifth grade class consist of 16 boys and 14 girls. If onepupil is chosen each week by lot to assist the teacher, what arethe probabilities that a boy will be chosen two weeks in a rowif (a) the same pupil can serve two weeks in a row; (b)the same pupil cannot serve two weeks in a row? A fifth grade class consist of 16 boys and 14 girls. If onepupil is chosen each week by lot to assist the teacher, what arethe probabilities that a boy will be chosen two weeks in a rowif (a) the same pupil can serve two weeks in a row; (b)the same pupil cannot serve two weeks in a row?

Explanation / Answer

For (b) the probability that a boy is selected the first week is 16/30 because there are 16 boys out of the 30 students to choose from.  But for the second week the same boy picked in week one is not elgible so now there are only 15 boys to choose from out of the 29 students (we removed the week one boy from consideration).

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