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Use the theoretical probability formula to solve the problem. 1) A single die is rolled once. The set of equally likely outcomes is {1, 2, 3, 4, 5, 6). Find the probability of the following events: a) Rolling "1" OR "5" b) Rolling an Odd number AND a number greater than 3 c) Rolling a "4" on the condition that an even number was rolled

Use the theoretical probability formula to solve the problem. 1) A single die is rolled once. The set of equally likely outcomes is {1, 2, 3, 4, 5, 6). Find the probability of the following events: a) Rolling "1" OR "5" b) Rolling an Odd number AND a number greater than 3 c) Rolling a "4" on the condition that an even number was rolled

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Use the theoretical probability formula to solve the problem. 1) A single die is rolled once. The set of equally likely outcomes is {1, 2, 3, 4, 5, 6). Find the probability of the following events: a) Rolling "1" OR "5" b) Rolling an Odd number AND a number greater than 3 c) Rolling a "4" on the condition that an even number was rolled Determine whether the events are independent. 2) Suppose the probability of event A is p(A) = .83 and the probability of event B is p(B) = .26 and p (An B) = 2158 a) Are the events A, and B independent? Show why or why not. b) Are the events A, and B mutually exclusive? Show why or why not. c) Find p(A u B) = Determine the probability. 3) Assume events A, B are independent. a) Suppose the probabity of event A is p(A) = .56 and the probability of event B is p(B) = .65 Find p(An B) = b) Suppose the probabity of event A is p(A) = .36 and the probability of p(A n B) = .1692. Find p(B | A) =
Transcribed Image Text:Use the theoretical probability formula to solve the problem. 1) A single die is rolled once. The set of equally likely outcomes is {1, 2, 3, 4, 5, 6). Find the probability of the following events: a) Rolling "1" OR "5" b) Rolling an Odd number AND a number greater than 3 c) Rolling a "4" on the condition that an even number was rolled Determine whether the events are independent. 2) Suppose the probability of event A is p(A) = .83 and the probability of event B is p(B) = .26 and p (An B) = 2158 a) Are the events A, and B independent? Show why or why not. b) Are the events A, and B mutually exclusive? Show why or why not. c) Find p(A u B) = Determine the probability. 3) Assume events A, B are independent. a) Suppose the probabity of event A is p(A) = .56 and the probability of event B is p(B) = .65 Find p(An B) = b) Suppose the probabity of event A is p(A) = .36 and the probability of p(A n B) = .1692. Find p(B | A) =
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