Suppose a certain exam is classified as either difficult (with probability 90/92) or fair (with probability 2/92). Exams are taken one after the other. What is the probability that at least 4 difficult exams will occur before the first fair one?

Holzkeulecz

Holzkeulecz

Answered question

2022-08-09

Suppose a certain exam is classified as either difficult (with probability 90/92) or fair (with probability 2/92). Exams are taken one after the other. What is the probability that at least 4 difficult exams will occur before the first fair one?

Answer & Explanation

Cynthia Lester

Cynthia Lester

Beginner2022-08-10Added 22 answers

Step 1
It is not clear in your question whether you are expecting to get at least one fair exam. If you want so you have to give us the number of exams you are taking.
Step 2
Otherwise, the probability you are looking for is exactly the probability that the first 4 exams are difficult, which is ( 45 46 ) 4

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