An accounting firm summarises their clients in terms of the sector and the number of them that sent late tax returns in the following table: Sector Number sending late returns Number on time Total number of clients Health 2 13 15 Real estate 5 73 78 Retail 5 52 57 Other 30 97 127 Total 42 235 277 An account is chosen at random. What is the probability that it is from the Retail sector and had an on-time return? Give your answer to 2 decimal places.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 85E
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An accounting firm summarises their clients in terms of the sector and the number of them that sent late tax returns in the following table:

Sector Number sending late returns Number on time Total number of clients
Health 2 13 15
Real estate 5 73 78
Retail 5 52 57
Other 30 97 127
Total 42 235 277


An account is chosen at random. What is the probability that it is from the Retail sector and had an on-time return?

Give your answer to 2 decimal places.

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