A store sells 7 different types of items: mugs, t-shirts, books, postcards, hats, socks and sweaters. There are 6 customers in the store and they cach buy one type of item at random. Calculate the probability that a) The customers cach purchase a different type of item. b) No customer purchases books or postcards. c) At least four customers purchase a mug. d) Three customers purchase the same type or nem and the other three customers purchase another same type of item. V

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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A store sells 7 different types of items: mugs, t-shirts, books, postcards, hats, socks and sweaters.
There are 6 customers in the store and they each buy one type of item at random. Calculate the
probability that
a) The customers cach purchase a different type of item.
b) No customer purchases books or postcards.
c) At least four customers purchase a mug.
d) Three customers purchase the same type or nem and the other three customers purchase
another same type of item.
Transcribed Image Text:A store sells 7 different types of items: mugs, t-shirts, books, postcards, hats, socks and sweaters. There are 6 customers in the store and they each buy one type of item at random. Calculate the probability that a) The customers cach purchase a different type of item. b) No customer purchases books or postcards. c) At least four customers purchase a mug. d) Three customers purchase the same type or nem and the other three customers purchase another same type of item.
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