Question

In: Statistics and Probability

Your instructor administers a 5 question multiple choice test. Each question has 4 possible answers of...

  1. Your instructor administers a 5 question multiple choice test. Each question has 4 possible answers of which 1 answer is correct. Find the probability of getting at least 1 question correct
  2. You and 5 friends are interested in forming a club. How many different ways can a President, Treasurer and Secretary be selected?
  3. A journalist has 10 books to review. Of the 10 books being reviewed, he can select 4 reviews for publication. How many ways can the 4 reviews be selected?
  4. Winning the grand prize at a carnival game requires you to randomly select 7 different numbers, ranging from 0 to 35, and matching the same 7 numbers drawn at the end of the carnival. The order in which you select the 7 numbers does not matter. What is the probability of winning the prize?

Solutions

Expert Solution

  1. Your instructor administers a 5 question multiple choice test. Each question has 4 possible answers of which 1 answer is correct. Find the probability of getting at least 1 question correct

P(atleast 1 correct) = 1- P(no correct) = 1 - (0.75^5) = 0.7627

  1. You and 5 friends are interested in forming a club. How many different ways can a President, Treasurer and Secretary be selected?

P(6,3)

  1. A journalist has 10 books to review. Of the 10 books being reviewed, he can select 4 reviews for publication. How many ways can the 4 reviews be selected?

C(10,4)

  1. Winning the grand prize at a carnival game requires you to randomly select 7 different numbers, ranging from 0 to 35, and matching the same 7 numbers drawn at the end of the carnival. The order in which you select the 7 numbers does not matter. What is the probability of winning the prize?

C(35,7)

P(winning) = 1/6724520


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