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Problem 97

Multiple choice test

Due: May 3
Points: 2

A multiple choice test is given with 100 questions, each of which has 4 options. An unprepared student answers each question with a random response. Calculate the probability that:

  1. The student passes with 70 or more questions correctly answered, or
  2. The student "shoots the moon" and answers every question incorrectly.

Which of (a) or (b) is more likely to happen?