SOLUTION: I cant find the correct answers to these questions. Please help! A test consists of three multiple-choice questions. The first question has four possible answers, one of them corr

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Question 429568: I cant find the correct answers to these questions. Please help!
A test consists of three multiple-choice questions. The first question has four possible answers, one of them correct; the second question has five possible answers, one of the correct; and the third question has six possible answers, one of them correct. An answer is randomly chosen for each question, independent of answers to other questions.
What is the probability that questions 1 and 2 are answered correctly, and question 3 is answered incorrectly? Answer in fraction.
What is the probability that at least one question is answered correctly? Answer in fraction.
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Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
three multiple-choice questions. Each has one corect answer
first question has four possible answers
the second question has five possible answers
third question has six possible answers
P(answering 1 & 2 correctly & 3 incorrectly) = 1/4*1/5*5/6
P(at least one question is answered correctly) = 1 - P(none) = 1 - 3/4*4/5*5/6
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