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A die is rolled thrice, find the probabi...

A die is rolled thrice, find the probability of getting a larger number each time than the previous number.

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To solve the problem of finding the probability of rolling a die thrice and getting a larger number each time than the previous number, we can follow these steps: ### Step 1: Determine the total number of outcomes When a die is rolled, there are 6 possible outcomes for each roll. Since the die is rolled three times, the total number of possible outcomes is calculated as follows: \[ \text{Total outcomes} = 6^3 = 216 \] ...
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RD SHARMA-PROBABILITY-Solved Examples And Exercises
  1. For any two events A and B associated to a random experiment, prove ...

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  2. The probability of simultaneous occurrence of at least one of two e...

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  3. A die is rolled thrice, find the probability of getting a larger nu...

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  4. If the letters of the word ATTRACTION are written down at random, f...

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  5. If each element of a second order determinant is either zero or one, ...

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  6. Each coefficient in the equation a x^2+b x+c=0 is determined by throwi...

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  7. Find the number of ways in which the birthday of six different persons...

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  8. A fair dice is rolled. Consider the following events: A={1,2,5},B={2,3...

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  9. A coin is tossed three times. Find P(E//F) in each of the following: (...

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  10. A bag contains 6 red and 5 blue balls and another bag contains 5 red ...

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  11. There are two bags, one of which contains 3 black and 4 white balls, ...

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  12. One bag contains 4 white and 5 black balls. Another bag contains 6 w...

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  13. There are two bags. The first bag contains 5 white and 3 black balls ...

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  14. Find the probability of drawing a one-rupee coin from a purse with two...

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  15. A probability of student A passing an examination is 2/9 and of studen...

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  16. X is taking up subjects Mathematics, Physics and Chemistry in the e...

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  17. A and B throw alternately a pair of dice. A wins if he throws 6 before...

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  18. Three persons A, B, C throw a die in succession till one gets a six ...

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  19. In a bolt factory, machines A, B and C manufacture respectively 25%, ...

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  20. Two thirds of the students in a class are boys and the rest girls. It ...

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