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anonymous

  • one year ago

Two dice are thrown simultaneously. Given that sum of the numbers is NOT more than 5, what is the probability that sum is more than 3? 7/10 3/10 5/6 3/4 9/10

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  1. anonymous
    • one year ago
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    @ganeshie8

  2. ganeshie8
    • one year ago
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    we are given that the sum is NOT more than 5 so this is our sample space how many ways can you get a sum NOT more than 5 ?

  3. ganeshie8
    • one year ago
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    the sum can be 2, 3, 4 or 5, yes ?

  4. anonymous
    • one year ago
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    yes

  5. ganeshie8
    • one year ago
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    how many ways can you get a sum of 2 ?

  6. anonymous
    • one year ago
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    one way?

  7. ganeshie8
    • one year ago
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    yes, ``` sum = 2 (1 way) ```

  8. ganeshie8
    • one year ago
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    what about the sum of 3, how many ways ?

  9. anonymous
    • one year ago
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    one way??

  10. ganeshie8
    • one year ago
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    you can have : 1 + 2 or 2 + 1 so two ways right

  11. anonymous
    • one year ago
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    ohh right, i didn't think you could count both

  12. anonymous
    • one year ago
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    ways

  13. ganeshie8
    • one year ago
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    ok good, ``` sum = 2 (1 way) sum = 3 (2 way) ```

  14. ganeshie8
    • one year ago
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    what about sum = 4, how many ways ?

  15. anonymous
    • one year ago
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    3? 2+2, 3+1, 1+3

  16. ganeshie8
    • one year ago
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    Very good : 1 + 3 = 4 2 + 2 = 4 3 + 1 = 4

  17. ganeshie8
    • one year ago
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    so we have ``` sum = 2 (1 way) sum = 3 (2 way) sum = 4 (3 way) ```

  18. ganeshie8
    • one year ago
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    can you guess how many ways there will be for getting a sum of 5 ?

  19. anonymous
    • one year ago
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    4?

  20. ganeshie8
    • one year ago
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    thats it, we're almost done ``` sum = 2 (1 way) sum = 3 (2 way) sum = 4 (3 way) sum = 5 (4 way) ```

  21. ganeshie8
    • one year ago
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    so how many total ways are there for getting a sum NOT more than 5 ?

  22. anonymous
    • one year ago
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    3 ways?

  23. anonymous
    • one year ago
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    oh wait...4?

  24. ganeshie8
    • one year ago
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    nope, just add them up : 1+2+3+4 = ?

  25. anonymous
    • one year ago
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    10!

  26. ganeshie8
    • one year ago
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    Yes! how many of them have sum more than 3 ?

  27. anonymous
    • one year ago
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    6?

  28. ganeshie8
    • one year ago
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    how ?

  29. ganeshie8
    • one year ago
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    just look at the table that we have created earlier ``` sum = 2 (1 way) sum = 3 (2 way) sum = 4 (3 way) sum = 5 (4 way) ```

  30. ganeshie8
    • one year ago
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    simply add the number of ways that we can get sum of 4 and 5

  31. anonymous
    • one year ago
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    2?

  32. ganeshie8
    • one year ago
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    how ?

  33. anonymous
    • one year ago
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    im sorry! i suck

  34. ganeshie8
    • one year ago
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    sum = 2 (1 way) sum = 3 (2 way) `sum = 4 (3 way)` `sum = 5 (4 way)` add them : 3+4 = 7 ways

  35. ganeshie8
    • one year ago
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    outcomes in favor = 7 total outcomes = 10 probability = ?

  36. anonymous
    • one year ago
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    right...im so stupid 7/10

  37. ganeshie8
    • one year ago
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    you're not stupid, you're doing great! thest things takes practice

  38. anonymous
    • one year ago
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    thank you! no wonder you have so many fans! haha

  39. ganeshie8
    • one year ago
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    haha that is because i have been here so long yw :)

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