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एक कक्षा में 30 % विद्यार्थी भौतिकी में, 25 % गणित तथा 10 % दोनों में फेल होते हैं। एक छात्र यदृच्छया चुना जाता है, तो प्रायिकता ज्ञात कीजिए की वह
गणित या भौतिकी में फेल हो।

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भौतिकी में फेल होने की प्रक्रिया
`P(A)=30/100`
गणित में फेल होने की प्रक्रिया
`P(B)=25/100`
भौतिकी और गणित में फेल होने की प्रायिकता
`P(A nn B)=10/100`
`P(A uu B)=P(A)+P(B)-P(A nn B)`
`=30/100+25/100-10/100`
`=45/100=9/20`

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