A quick quiz consists of 44 multiple choice problems, each of which has 66 answers, only one of which is correct. If you make random guesses on all 44 problems, (a)  What is the probability that all 44 of your answers are incorrect? answer:  (b)  What is the probability that all 44 of your answers are correct? answer:

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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A quick quiz consists of 44 multiple choice problems, each of which has 66 answers, only one of which is correct. If you make random guesses on all 44 problems,

(a)  What is the probability that all 44 of your answers are incorrect?

answer: 

(b)  What is the probability that all 44 of your answers are correct?

answer: 

Expert Solution
Step 1

Here each number are repeated 2 times in the question i am solving it taking single digit only which make the question correct.

We have given that

n = 4

p = 1/6 = 0.167

Here we will use binomial distribution because probability of success is fixed out of fixed number of trials

Let x = number of question which are correct

x follows the binomial distribution with parameter

 

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