Homework Little Tommy Grave from Harvard has to take a Probability Quiz. There a

Question

Homework Little Tommy Grave from Harvard has to take a Probability Quiz. There are three question:s Question 1 is multiple choice. There are 5 possible choices, 1 correct answer. Question 2 is multiple choice. There are 3 possible choices, 1 correct answer Question 3 is a True or False question. Little Tommy Grave from Harvard doesn't understand probability so he is going to GUESS the answer to each of the 3 questions. 1. What is the probability Little Tommy gets the 1st question correct? 2. What is the probability Little Tommy gets the 2nd question wrong? 3. What is probability Little Tommy gets the 3rd question correct? 4. What is probability Little Tommy answers all three questions correctly? 5. What is probability Little Tommy answers all three incorrectly? 6. What is probability Little Tommy gets AT LEAST ONE question correct? 49

Explanation / Answer

Q1) P( First Question Correct) = 1/5 = 0.20

Q2) P( Second Question wrong) = 2/3

Q3)  P( Third Question Correct) = 1/2 = 0.50

Q4) P( all Question Correctly) = (1/5)*(1/3)*(1/2) = 1/30

Q5) P( all Question InCorrectly) = (4/5)*(2/3)*(1/2) = 4/15

Q6) P( At least one Correct) = 1-4/15 = 11/15

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