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A die is rolled twice and the sum of the...

A die is rolled twice and the sum of the numbers appearing on them is observed to be 7. What is the conditional probability that the number 2 has appeared at least once?

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RD SHARMA ENGLISH-PROBABILITY-All Questions
  1. A fair dice is rolled. Consider the following events: A={1,2,5},B={2,3...

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  2. Three events A , B and C have probabilities 2/5,1/3a n d1/2 respecivel...

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  3. A die is rolled twice and the sum of the numbers appearing on them is ...

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  4. A black and a red dice are rolled. (a)   Find the conditional proba...

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  5. Two integers are selected at random from integers 1 through 11. If the...

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  6. A factory has three machines A, B and C, which produce 100, 200 and 30...

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  7. A company has two plant to manufacture bicycles. The first plant man...

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  8. For A, B and C the chances of being selected as the manager of a firm ...

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  9. A bag contains 1 white and 6 red balls, and a second bag contains 4...

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  10. A man is known to speak truth 3 out of 4 times. He throws a die and...

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  11. By examining the chest X-ray, probability that T.B is detected when a ...

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  12. In answering a question on a multiple choice test, a student either...

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  13. An instructor has a test bank consisting of 300 easy True/False que...

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  14. A committee of 4 students is selected at random from a grourp consisti...

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  15. A bag contains 3 red and 4 black balls and another bag has 4 red and 2...

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  16. 10% of the bulbs produced in a factory are of red colour and 2% are re...

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  17. Three distinguishable balls are distributed in 3 cells. The probabilit...

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  18. An electronic assembly consists of two sub-systems say A and B. From ...

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  19. Three dice are thrown at the same time. Find the probability of gettin...

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  20. A die is thrown three times. Events A and B are defined as follows: A...

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