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Consider a sample space "S" representing...

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.

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The correct Answer is:
`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)`
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