:) Two students in a Biology class were suspected of cheating on a multiple choice t "he test has 10 questions. Each question has 4 choices (ABCD). ) Is it possible for two students to have the same exact choices marked on their test pr all 10 questions? If so, is it rare or often?
Can I get some explanation on these problems?
(a). Explain whether it is possible for two students to have the same exact choices marked on their tests for all 10 questions:
The number of questions in the test is n = 10.
The number of choices for each question is 4.
The probability that a question is correct is p = ¼ = 0.25.
If all the questions are correctly answered by 2 students, then the two students will have the same exact choices marked on their test for all the 10 questions.
The odds that neither of the students choose correct answer and all the guesses of 2 students are same can also happen.
Thus, it is possible for two students to have the same exact choices marked on their tests for all 10 questions.
But this is very rare event.
Hence, the possibility for two students to have the same exact choices marked on their tests for all 10 questions is very rare.
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