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CBSE Class 12-science Answered

14th sum and plz explain its statement

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Asked by lovemaan5500 | 03 Oct, 2019, 05:47: AM

Expert Answer

Let E₁, E₂ and E₃ be the events in which the work has done by A, B, and C respectively.

P left parenthesis E subscript 1 right parenthesis equals 45 over 100 comma space P left parenthesis E subscript 2 right parenthesis equals 35 over 100 comma space P left parenthesis E subscript 3 right parenthesis equals 20 over 100 L e t space E space b e space t h e space e v e n t space t h a t space t h e space s e l e c t e d space p e r s o n space t a k e s space m o r e space t i m e P left parenthesis E divided by E subscript 1 right parenthesis equals 1 over 6 P left parenthesis E divided by E subscript 2 right parenthesis equals 1 over 10 P left parenthesis E divided by E subscript 3 right parenthesis equals 1 over 20 T o space f i n d space t h e space p r o b a b i l i t y space t h a t space A space h a s space t a k e n space m o r e space t i m e P left parenthesis E subscript 1 divided by E right parenthesis equals fraction numerator P left parenthesis E subscript 1 right parenthesis P left parenthesis E divided by E subscript 1 right parenthesis over denominator P left parenthesis E subscript 1 right parenthesis P left parenthesis E divided by E subscript 1 right parenthesis plus P left parenthesis E subscript 2 right parenthesis P left parenthesis E divided by E subscript 2 right parenthesis plus P left parenthesis E subscript 3 right parenthesis P left parenthesis E divided by E subscript 3 right parenthesis end fraction equals equals fraction numerator begin display style 45 over 100 end style cross times begin display style 1 over 6 end style over denominator begin display style 45 over 100 end style cross times begin display style 1 over 6 end style plus begin display style 35 over 100 end style cross times begin display style 1 over 10 end style plus begin display style 20 over 100 end style cross times begin display style 1 over 20 end style end fraction equals 5 over 8

Answered by Renu Varma | 04 Oct, 2019, 10:46: AM

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