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According to the Office for National Statistics, 86% of all UK households have a satellite, digital, or cable receiver and 75% have a personal computer. Suppose 81% of all UK households having a satellite, digital, or cable receiver have a personal computer. A UK household is randomly selected.

a. What is the probability that the household has a satellite, digital, or cable receiver and a personal computer?

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b. What is the probability that the household has a satellite, digital, or cable receiver or a personal computer?

c. What is the probability that the household has a satellite, digital, or cable receiver and does not have a personal computer?

d. What is the probability that the household has neither a satellite, digital, or cable receiver nor a personal computer?

e. What is the probability that the household does not have a satellite, digital, or cable receiver and does have a personal computer?

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