When a woman goes for shopping she may buy several goods between them clothes and shoes. She has calculated the probabilities of her preferences as follows: The probability that she buys clothes, equals 0.60.6. The probability that she buys shoes and she does not buy clothes, equals 0.20.2. The probability that she buys both clothes and shoes, equals 0.20.2. Find the probability that in one shopping day she: (a) buys at least one of the goods “clothes” or “shoes”.  (b) buys clothes and not shoes.  (c) buys exactly one of the goods “clothes” and “shoes”.  (d) buys at most one of the goods “clothes” and “shoes”.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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When a woman goes for shopping she may buy several goods between them clothes and shoes. She has calculated the probabilities of her preferences as follows:

The probability that she buys clothes, equals 0.60.6.

The probability that she buys shoes and she does not buy clothes, equals 0.20.2.

The probability that she buys both clothes and shoes, equals 0.20.2.

Find the probability that in one shopping day she:

(a) buys at least one of the goods “clothes” or “shoes”. 

(b) buys clothes and not shoes. 

(c) buys exactly one of the goods “clothes” and “shoes”. 

(d) buys at most one of the goods “clothes” and “shoes”. 

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Since you have posted multiple sub-parts, we will solve the first three sub-parts for you. To get the remaining sub-parts kindly repost the complete question and mention the subparts that need to be solved.

Let S be the event of buying shoes and C be the event of buying clothes.

Given,

PC=0.606PSCc=0.202PCS=0.202

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