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एक बक्से में 10 कार्ड 1 से 10 तक पूर्णाक लिख कर रखे गये और उन्हें अच्छी तरह से मिलाया गया | इस बक्से से एक कार्ड यदृच्छया निकाला गया | यदि यह ज्ञात हो कि निकाले गये कार्ड पर संख्या 3 से अधिक है, तो इस संख्या के सम होने कि प्रायिकता ज्ञात कीजिए |

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माना `E_(1)=` निकाले गये कार्ड पर सम संख्या आने कि घटना `E_(2)` निकाले गये कार्ड पर 3 से बड़ी संख्या आने कि घटना
प्रश्नानुसार, प्रतिदर्श समष्टि `S={1,2,3,4,5,6,7,8,9,10}`
तब `E_(1)={2,4,6,8,10}`
`E_(2)={4,5,6,7,8,9,10}`
`rArr" "E_(1)capE_(2)={4,6,8,10}`
अब `P(E_(1))=(5)/(10), P(E_(2))=(7)/(10), P(E_(1)capE_(2))=(4)/(10)`
`therefore" "P(E_(1)//E_(2))=(P(E_(1)capE_(2)))/(P(E_(2)))=(4//10)/(7//10)=(4)/(7)`

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