Mathematics

Question

John is preparing for a presentation in math class. Each day 2 of 8 students will present. John is not ready the first day and does not want to present. The teacher is going to randomly draw students names out of a hat to present. Would it be better for John if the teacher does or does not replace the names? Explain your answer.

2 Answer


  • b. It would be better for John if the teacher replaced the name each time. Since replacing the name causes the events to be independent, the probability that he would get chosen is less  ....                                                                                                                                                     .                                                   
  • Answer: It would be better for John if the teacher replaces the names.


    Step-by-step explanation: Since, there are total 8 students and 2 of them are going to present each day. So, probability that John will get chosen to present on first day is 1/8 for selected first and 1/7 for selected second. But, if the teacher replaces the names each time after presentation, then we are dealing with independent events and the probability of John gets selected on first day is 1/8 for both selected first and selected second. Thus, the probability of John gets chosen on first day for presentation will be much lesser than before.

    Thus, it will be better for John, if the teacher replaces names after every presentation.


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