Consider a class of 25 students, 12 boys and 13 girls. On each day, one student
ID: 3041538 • Letter: C
Question
Consider a class of 25 students, 12 boys and 13 girls. On each day, one student from the class is chosen to be the teacher's assistant for the day.
a) Presume that on each day, the teacher's assistant is chosen at random from all the students in the class. Compute the probability that five different students serve as teacher's assistants in a particular five-day week.
b) Presume that on each day, the teacher's assistant is chosen at random from all the students in the class. Compute the probability that five different boys serve as teacher's assistant in a particular five day week.
Explanation / Answer
a) Probability that 5 different students are chosen = Number of ways of selecting 5 students without repetition/Total number of ways of selections possible
= 25P5/(255)
= 6375600/9765625
= 0.6529
b) Probability that 5 different boys will serve as teachers assistant = Number of ways in which boys can be chosen/Total number of ways of chosing students
= 12P5/(255)
= 95040/9765625
= 0.0097
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