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 70% 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) 8.7 (B) 0.9 (C) 0.7 (D) 0.5 (E) 0.6 (F) 0.08 (G) 0.2 (H) 0.42

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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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 70%
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) 8.7
(B) 0.9
(C) 0.7
(D) 0.5
(E) 0.6
(F) 0.08
(G) 0.2
(Н) 0.42
(H)
В
OD
O E
OF
H.
A,
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 70% 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) 8.7 (B) 0.9 (C) 0.7 (D) 0.5 (E) 0.6 (F) 0.08 (G) 0.2 (Н) 0.42 (H) В OD O E OF H. A,
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