You plan ahead for disaster. Research tells you that there is a probability of 0.05% that electricity goes out due to weather on any given day (E).   And the probability that you cannot find candles (C) is 5%, probability that you cannot find  matches or lighters (M) is 3%. What is the probability that you do not have light on any given day?  In this setting this means that electricity goes out AND you cannot find candles or matches (E and (C or M)). Assume that C and M are mutually exclusive and that E, (C or M) are independent.  Express all probabilities as decimal fractions, or as common fractions with denominator 100. Give the answer as integer in a million (the answer is just that integer).

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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You plan ahead for disaster. Research tells you that there is a probability of 0.05% that electricity goes out due to weather on any given day (E).  
And the probability that you cannot find candles (C) is 5%, probability that you cannot find  matches or lighters (M) is 3%.

What is the probability that you do not have light on any given day? 
In this setting this means that electricity goes out AND you cannot find candles or matches (E and (C or M)).
Assume that C and M are mutually exclusive and that E, (C or M) are independent. 

Express all probabilities as decimal fractions, or as common fractions with denominator 100. Give the answer as integer in a million (the answer is just that integer). 

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