1. There are three brands, say X, Y and Z of an item available in the market. A consumer chooses exactly one of them for his use. He never buys two or more brands simultaneously. The probabilities that he buys brands X, Y and Z are 0.20, 0.16 and 0.45, respectively.
a) What is the probability that he does not buy any of the brands?
b) Given that a customer buys some brand, what is the probability that he buys brand
a) p = 1 - 0.20 - 0.16 - 0.45 = 0.19
b) For brand X, the probability is given, and it is 0.20. The same for the other brands, the probabilities are given.
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