3 विद्यार्थियों की एक प्रश्न को हल करने की प्रायिकता \({1\over 2}, {1\over 3}, \) और \({1\over 4}\) है। प्रश्न को हल करने की प्रायिकता क्या है?

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  1. \({1\over 4}\)
  2. \({1\over 2}\)
  3. \({7\over 12}\)
  4. \({3\over 4}\)

Answer (Detailed Solution Below)

Option 4 : \({3\over 4}\)
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3 विद्यार्थियों की प्रायिकता,

P(A) = 1/2, P(A̅) = 1/2

P(B) = 1/3, P(B̅) = 2/3

P(C) = 1/4, P(C̅) = 3/4

अत:, किसी के द्वारा प्रश्न हल न करने की प्रायिकता है = \(\frac 1 2 \times \frac 2 3 \times \frac 3 4\) = 1/4

⇒ P(कोई भी नहीं) = 1/4

इसलिए, प्रश्न को हल करने की प्रायिकता है = 1 - 1/4 = 3/4

अतः, सही उत्तर "3/4" है।

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