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पासों के एक जोड़े को 4 बार उछाला जाता है।...

पासों के एक जोड़े को 4 बार उछाला जाता है। यदि पासों पर प्राप्त अंकों का द्विक होना एक सफलता मानी जाती है तो 2 सफलताओं की प्रायिकता ज्ञात कीजिए।

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Verified by Experts

The correct Answer is:
`(25)/(216)`

`p=(6)/(36) =(1)/(6),q =(1-(1)/(6))=(5)/(6) " and " n=4`
`P(X=r) =.^(n)C_(r ) .p^(r ).q^((n-r)) =.^(4 )C_(r ).((1)/(6))^(r ) .((5)/(6))^((4-r))`
`:. P(X=2) =.^(4 )C_(2).((1)/(6))^(2).((5)/(6))^(2)`
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The numerator of a fraction is 3 more than the denominator. When 5 is added to the numerator and 2 is subtracted from the denominator, the fraction becomes 8/3 . When the original fraction is divided by 5 1/2 , the fraction so obtained is: एक भिन्न का अंश हर की अपेक्षा में 3 अधिक है। जब 5 को अंश में जोड़ा जाता है और 2 को हर में से घटाया जाता है, तो अंश 8/3 हो जाता है। जब मूल भिन्न को 5 1/2 से विभाजित किया जाता है, तो प्राप्त होने वाला भिन्न ज्ञात कीजिए

RS AGGARWAL-PROBABILITY DISTRIBUTION-Exercise 32
  1. A die is thrown 4 times . Getting a 1 or a 6' is considered a su...

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  2. Find the probability of 4 turning up at east once in two tosses of a ...

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  3. पासों के एक जोड़े को 4 बार उछाला जाता है। यदि पासों पर प्राप्त अंकों का...

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  4. A pair of dice is thrown 7 times. If getting a total of 7 is considere...

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  5. There are 6% defective items in a large bulk of item. Find the prob...

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  6. In a box containing 60 bulbs 6 are defective . What is the prob...

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  7. The probability that a bulb produced by a factory will fuse ...

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  8. In the items produced by a factory there are 10% defective items ...

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  9. Assume that on an average one telephone number out of 15 , calle...

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  10. There cars participate in a race . The probability that any one ...

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  11. Past records show that 80% of the operations performed by a cert...

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  12. The probability of a man hitting man hitting target is 0.25. If he sho...

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  13. एक बाधा दौड़ में एक प्रतियोगी को 10 बाधाएं पार करनी है इसकी प्रायिकता क...

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  14. A man can hit a bird once in 3 shots . On this assumption he fi...

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  15. If the probability that a man aged 60 will live to be 70 is 0.65...

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  16. A bag contains 5 white 7 red and 8 black balls. If four balls ...

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  17. A plicement fires 6 bullets at a burglar. The probability that...

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  18. A die is tossed thrice . A success I is or 6 on a toss. Find t...

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  19. A die is thrown 100 times. Getting an even number is considered a...

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  20. If the mean and variance of a binomial distribution are respectivel...

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