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A die is throws 5 times . If getting...

A die is throws 5 times . If getting an odd number is a success , find the probability of getting at least 4 successes.

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To solve the problem of finding the probability of getting at least 4 successes when a die is thrown 5 times, we can follow these steps: ### Step 1: Define Success and Failure In this scenario, a success is defined as rolling an odd number. The odd numbers on a die are 1, 3, and 5. Therefore, the probability of success (getting an odd number) is: \[ P(\text{Success}) = \frac{3}{6} = \frac{1}{2} \] The probability of failure (getting an even number) is: \[ P(\text{Failure}) = 1 - P(\text{Success}) = 1 - \frac{1}{2} = \frac{1}{2} \] ...
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(i) A die is thrown 5 times. If getting an 'odd number' is success, find the probability of getting at least 4 successes. (ii) A die is thrown 6 times. If getting an 'odd (even) number' is a success, what is the probability of : (I) 5 successes (II) at least 5 successes (III) at most 5 successes (IV) no success ? (iii) A die is thrown 10 times. If getting an even number is considered a success, find the probability of at least 9 successes.

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RS AGGARWAL-PROBABILITY DISTRIBUTION-Exercise 32
  1. A die is throws 5 times . If getting an odd number is a success...

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  2. A coin is tossed 6 times . Find the probability of getting at le...

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  3. A coin is tossed 5 times . What is the probability that a head appe...

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  4. 7 coins are tossed simultaneously . What is the probability that ...

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  5. A coin is tossed 6 times. Find the probability of getting (i) ex...

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  6. 10 coins are tossed simultaneously . Find the probability of gettin...

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  7. A die is thrown 6 times . If getting an even number is a success...

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  8. A die is thrown 4 times . Getting a 1 or a 6' is considered a su...

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

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

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

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

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

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

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

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

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

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

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

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

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

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