A elementary school teacher is taking a class of 16 students on a field trip. To

Question

A elementary school teacher is taking a class of 16 students on a field trip. To make sure his students don't get lost, he uses a buddy system where he pairs each student with one other student to make 8 total pairs. At the end of the day, he will return to school if no student reports that someone from their pair is missing. With this scheme, the teacher will not notice if both students from a pair go missing. Suppose that each student independently gets lost with probability 1/10. Given that the teacher leaves to return to school, what is the probability that no student got lost?

Explanation / Answer

The probability of pair not getting lost will be = 9/10 * 9/10 = 81/100

Thus, the probability of all 8 pairs not getting lost will be = (81/100)^8 = 0.185

Thus the probability of not student getting lost will be 0.185

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.