Consider a sample space `"S"` representing the adults in a small town who have completed the requirements for a college degree. They have been categor

Question

Consider a sample space `"S"` representing the adults in a small town who have completed the requirements for a college degree. They have been categor

Consider a sample space `"S"` representing the adults in a small town who have completed the requirements for a college degree. They have been categorized according to sex and employment as follows: , Employed, Unemployed Male, 460, 40 Female, 140, 260 An employed person is selected at random. Find the probability that the chosen one is a male.

Monjur Alahi

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2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - `23//30`
Let m be the event that man is chosen and E be the event that chosen one is employed. From the concept of reduced sample space, we immediately get
`P(M//E)=(460)/(600)=(23)/(30)`
Also `P(E)=(600)/(900)=2/3`
`P(EnnM)=(460)/(900)=(23)/(45)`
`impliesP(E//M)=(23//45)/(2//3)=(23)/(30)`

6 views Answered 2023-02-05 15:29