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If 3 dices are rolled, what is the probability of getting sum of the values on them is 11?Question 18Answera.31/216b.9/216c.27/216d.13/216

Question

If 3 dices are rolled, what is the probability of getting sum of the values on them is 11?Question 18Answera.31/216b.9/216c.27/216d.13/216

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Solution

To solve this problem, we need to find all the possible outcomes that sum up to 11 when three dice are rolled.

The possible outcomes are as follows:

  1. (2,3,6)
  2. (2,4,5)
  3. (2,5,4)
  4. (2,6,3)
  5. (3,2,6)
  6. (3,3,5)
  7. (3,4,4)
  8. (3,5,3)
  9. (3,6,2)
  10. (4,2,5)
  11. (4,3,4)
  12. (4,4,3)
  13. (4,5,2)
  14. (5,2,4)
  15. (5,3,3)
  16. (5,4,2)
  17. (6,2,3)
  18. (6,3,2)

So, there are 18 possible outcomes that sum up to 11.

The total number of outcomes when three dice are rolled is 666 = 216.

Therefore, the probability of getting a sum of 11 when three dice are rolled is 18/216 = 1/12.

So, none of the options given in the question are correct. The correct answer should be 1/12.

This problem has been solved

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