Question
Download Solution PDFIf the odds in favour of an event be \(\rm \frac{5}{7}\), find the probability of the occurrence of the event?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculation:
Let the given event be E and let P(E) = x.
Then, odds in favour of E = \(\rm \frac{P(E)}{1 - P(E)}\)
\(\rm \frac{P(E)}{1 - P(E)} = \frac{5}{7}\)
\(\rm \frac{x}{1 - x} = \frac{5}{7}\)
x = \(\rm \frac{5}{12}\)
Required probability = \(\rm \frac{5}{12}\)
The probability of the occurrence of the event is \(\rm \frac{5}{12}\)
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