SOLUTION: ) A test consists of five questions, and to pass the
test, a student has to answer at least four questions
correctly.Each question has three possible answers,
of which only one
Algebra.Com
Question 1190147: ) A test consists of five questions, and to pass the
test, a student has to answer at least four questions
correctly.Each question has three possible answers,
of which only one is correct. If a student guesses
on each question, what is the probability that the
student will pass the test ?
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
(1) P(5 right)....
(2) P(4 right)....
(a) P(each one right) = 1/3; P(each one wrong = 2/3)
(b) P(four right, one wrong, in a particular order) = (1/3)^4 times (2/3)^1 = 2/243
(c) number of different choices for the one problem that is wrong = 5
P(4 right) = 5 * 2/243 = 10/243
P(pass test) = P(4 or 5 right) = 1/243+10/243 = 11/243
ANSWER: 11/243
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