Answer to Question #112327 in Statistics and Probability for Mariamyussifsaeed

Question

(c) (c) When the candidate’s exam is being graded, the grader finds that the candidate
has answered the first five exam questions all wrong. Can the grader conclude that
the candidate is more or less likely to guess a problem right in other problems the candidate’s exam is being graded, the grader finds that the candidate
has answered the first five exam questions all wrong. Can the grader conclude that
the candidate is more or less likely to guess a problem right in other problems

Answer 1

Probability that the candidate guess a problem right in other problems is

$$Pr=\big({1\over 5}\big)^{N-5},$$

$N$  is the total number of problems.

The grader cannot conclude that the candidate is more or less likely to guess a problem right in other problems because the answers of different questions are independent events.