14th sum and plz explain its statement

Asked by lovemaan5500 | 3rd 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 | 4th Oct, 2019, 10:46: AM