Suppose E and F are independent events with P(E)= 0.3 and P(F) = 0.6. (a) Given that E does not occur, what is the conditional probability that F also does not occur? (b) What is the probability that at least one of E,F, occurs? (c) Given that at least one of the two events E,F occurred, what is the probability that F occurred?

Suppose E and F are independent events with P(E)= 0.3 and P(F) = 0.6. (a) Given that E does not occur, what is the conditional probability that F also does not occur? (b) What is the probability that at least one of E,F, occurs? (c) Given that at least one of the two events E,F occurred, what is the probability that F occurred?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

Suppose E and F are independent events with P(E)= 0.3 and P(F) = 0.6.
(a) Given that E does not occur, what is the conditional probability that F also
does not occur?
(b) What is the probability that at least one of E,F, occurs?
(c) Given that at least one of the two events E,F occurred, what is the probability
that F occurred?

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