The probability a randomly selected residence subscribes to at least one newspaper is 0.38. The probability a randomly selected residence has at least one e-reader is 0.15. Assume whether a randomly selected household subscribes to at least one newspaper is independent of whether the residence has at least one e-reader. What is the probability a randomly selected residence subscribes to at least one newspaper given the household has at least one e-reader?

Question

Mathematics

Eden Gibson

1 January, 19:00

The probability a randomly selected residence subscribes to at least one newspaper is 0.38. The probability a randomly selected residence has at least one e-reader is 0.15. Assume whether a randomly selected household subscribes to at least one newspaper is independent of whether the residence has at least one e-reader. What is the probability a randomly selected residence subscribes to at least one newspaper given the household has at least one e-reader?

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Kole Murillo · Answer 1

0.38

Step-by-step explanation:

Given that the probability a randomly selected residence subscribes to at least one newspaper is 0.38

The probability a randomly selected residence has at least one e-reader is 0.15

A - subscribes to atleast one newspaper

B = atleast one e reader

A and B are independent

P (A) = 0.38 and P (B) = 0.15

the probability a randomly selected residence subscribes to at least one newspaper given the household has at least one e-reader

= P (A/B) = P (A) (since A and B are independent)

= 0.38