You take a quiz with 6 multiple choice questions. After you studied, you estimat

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.

Random Numbers

322441 825004 713539 074471 851970 519440 060591 167910 136523 888436

573704 277943 391525 505086 786705 211793 489748 333119 463598 506503

Where did these randoms number come from? I need a step by step solution please ( I'm really horrible in math and I need a clear explanation to be able to do this on my exam)

Thanks

Explanation / Answer

given that, 0-7 represent a correct answer and let 8-9 represent an incorrect answer. So, in any trial, if number 8 or 9 is present, this means not all are correct answers.

322441     (ALL correct)

825004    (not all correct)

713539   (not all correct)

074471     (ALL correct)

851970    (not all correct)

519440     (not all correct)

060591      (not all correct)

167910      (not all correct)

136523     (ALL correct)

888436      (not all correct)

573704    (ALL correct)

277943      (not all correct)

391525      (not all correct)

505086      (not all correct)

786705      (not all correct)

211793     (not all correct)

489748      (not all correct)

333119      (not all correct)

463598      (not all correct)

506503    (ALL correct)

Out of 20 trials, 5 are all correct. Therefore, your chances of getting all the answers correct is: 5/20 =0.25

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