Every morning a math instructor picks out two socks completely at random from his closet; there's only a 40% chance they match. If they don't match there is a 60% chance his students will laugh at him, while if his socks do match there is only a 20% chance of his students laughing at him. On a given day, what is the probability that his students laugh at him? (A) 0.6 (В) 0.2 (C) 0.36 (D) 0.8 (E) 8.6 (F) 0.08 (G) 0.44 (Н) 0.4

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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Every morning a math instructor picks out two socks completely at random from his
closet; there's only a 40% chance they match. If they don't match there is a 60%
chance his students will laugh at him, while if his socks do match there is only a 20%
chance of his students laughing at him. On a given day, what is the probability that
his students laugh at him?
(A) 0.6
(B) 0.2
(C) 0.36
(D) 0.8
(E) 8.6
(F) 0.08
(G) 0.44
(H) 0.4
Transcribed Image Text:Every morning a math instructor picks out two socks completely at random from his closet; there's only a 40% chance they match. If they don't match there is a 60% chance his students will laugh at him, while if his socks do match there is only a 20% chance of his students laughing at him. On a given day, what is the probability that his students laugh at him? (A) 0.6 (B) 0.2 (C) 0.36 (D) 0.8 (E) 8.6 (F) 0.08 (G) 0.44 (H) 0.4
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