Tesco and Aldi are both supermarkets. On any particular day, Tesco is closed with probability 0.2, while Aldi is open with probability 0.7. Given Aldi is open, Tesco is open with probability 0.87. Using the inclusion-exclusion principle, or otherwise, determine the probability that at least one of the supermarkets is open.

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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Tesco and Aldi are both supermarkets. On any particular day, Tesco is closed
with probability 0.2, while Aldi is open with probability 0.7. Given Aldi is
open, Tesco is open with probability 0.87. Using the inclusion-exclusion
principle, or otherwise, determine the probability that at least one of the
supermarkets is open.
Transcribed Image Text:Tesco and Aldi are both supermarkets. On any particular day, Tesco is closed with probability 0.2, while Aldi is open with probability 0.7. Given Aldi is open, Tesco is open with probability 0.87. Using the inclusion-exclusion principle, or otherwise, determine the probability that at least one of the supermarkets is open.
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