SOLUTION: EACH QUESTION OF 5-QUESTION MULTIPLE CHOICE EXAM HAS 5 POSSIBLE ANSWERS. SUPPOSE A STUDENT PICKS AN ANSWER AT A RANDOM FOR EACH QUESTION. FIND THE PROBABILITY THE STUDENTS SELECTS
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-> SOLUTION: EACH QUESTION OF 5-QUESTION MULTIPLE CHOICE EXAM HAS 5 POSSIBLE ANSWERS. SUPPOSE A STUDENT PICKS AN ANSWER AT A RANDOM FOR EACH QUESTION. FIND THE PROBABILITY THE STUDENTS SELECTS
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Question 986376: EACH QUESTION OF 5-QUESTION MULTIPLE CHOICE EXAM HAS 5 POSSIBLE ANSWERS. SUPPOSE A STUDENT PICKS AN ANSWER AT A RANDOM FOR EACH QUESTION. FIND THE PROBABILITY THE STUDENTS SELECTS THE CORRECT ANSWER ON ALL THE QUESTIONS. Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! Assume that the questions are independent, so that missing one has no effect on the other.
The probability is (1/5) of getting each one right, and that is raised to the 5th power, or multiplied by itself 5 times.
It is 1/3125.
