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To pass a true or false test a student must answer 8 out of 10 correct. What is the probability a student will pass if he quesses on all 10 questions?
Wiki User
∙ 13y ago
Total number of different ways he can fill out the answer sheet = 210 = 1,024 .
He passes the test if he gets zero wrong, one wrong, or two wrong.
Number of ways to get zero wrong = 1.
Number of ways to get exactly one wrong = 10.
Number of ways to get exactly two wrong = 45.
Total number of ways to get exactly 0, 1, or 2 wrong = (1 + 10 + 45) = 56.
Probability of passing = (56) / (1,024) = 5.47%(rounded)
Wiki User
∙ 13y ago
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