Question

You take a quiz with 6 multiple choice questions. After you​ studied, you estimated that you would have about an​ 80% chance of getting any individual question right. What are your chances of getting them all​ right? The random numbers below represent a simulation with 20 trials. Let​ 0-7 represent a correct answer and let​ 8-9 represent an incorrect answer.

339276 937985 626256 805033 392742 424748 061420 671568 475601 820698 329546 198719 538545 173437 671291 836319 113546 965616 337452 588186

What are your chances of getting all the answers​ correct? __%

Answer 1

1. Component to be repeated-One multiple choice question

2. Since there are 80% chance of getting a question right, so use random digits 0 -9 by assigning 0 -7 for correct answer and 8 and 9 for an incorrect answer.

3. Each trial consists of 6 random digits since there are 6 multiple choice questions

4. To make all right So count the number of trials in which all 6 numbers are between 0-7

5. On simulating, Count number of times all problems are right and divide this number by number of trials.

6 Since 80% chance of correct answer So 26% chances of getting all 6 MCQ right.

(this can be done by probability 0.8^6=0.26 that is 26%)

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