यदि एक घटना का अनुकूल संयोगानुपात \(\rm \frac{5}{7}\) है तो घटना के घटित होने की प्रायिकता ज्ञात कीजिए।

  1. \(\rm \frac{5}{7}\)
  2. 1
  3. \(\rm \frac{7}{12}\)
  4. \(\rm \frac{5}{12}\)

Answer (Detailed Solution Below)

Option 4 : \(\rm \frac{5}{12}\)
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गणना:

मान लीजिए दी गई घटना E है और मान लीजिए P(E)= x

 E का अनुकूल संयोगानुपात = \(\rm \frac{P(E)}{1 - P(E)}\)

\(\rm \frac{P(E)}{1 - P(E)} = \frac{5}{7}\)

\(\rm \frac{x}{1 - x} = \frac{5}{7}\)

x = \(\rm \frac{5}{12}\)

वांछित प्रायिकता = \(\rm \frac{5}{12}\)

घटना के घटित होने की प्रायिकता है:  \(\rm \frac{5}{12}\)

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