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ExoticInspirit

  • one year ago

In probability what is the difference between finding the product and the sum of a number. For example, I roll 2 dice numbered 1-6 what is the probability that i get a product of 12? another question for sum is i roll two dice numbered 1-6 what is the probability i get the sum of 3?

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  1. Sachintha
    • one year ago
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    @ganeshie8

  2. ganeshie8
    • one year ago
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    How many total possible outcomes are there when you roll 2 dice ?

  3. exoticinspirit
    • one year ago
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    36

  4. ganeshie8
    • one year ago
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    Good, first consider sum of digits = 3

  5. ganeshie8
    • one year ago
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    it can happen in two ways : 1 + 2 2 + 1 so 2 outcomes are in favor, whats the probability ?

  6. Sachintha
    • one year ago
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    1/9 ?

  7. exoticinspirit
    • one year ago
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    i know the probability of the sum of 3 would be 1/18 but i dnt know the difference between product and sum and why do they have to subtract 1 to make it 2/36 instead of 3/36 and just simplify

  8. ganeshie8
    • one year ago
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    are you saying the probability for sum being 3 is 1/18 ?

  9. exoticinspirit
    • one year ago
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    yep

  10. ganeshie8
    • one year ago
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    thats correct, next work the probability for product = 12 how many ways it can happen ?

  11. exoticinspirit
    • one year ago
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    ok i know the answer i just dont the why they wrote sum and product what is the DIFFERENCE

  12. ganeshie8
    • one year ago
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    could you please elaborate a bit more, i feel i don't understand ur question properly..

  13. exoticinspirit
    • one year ago
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    whats probability of product

  14. ganeshie8
    • one year ago
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    how many ways can you get a product of 12 ?

  15. ganeshie8
    • one year ago
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    2*6 3*4 4*3 6*2 4 favorable outcomes, yes ?

  16. exoticinspirit
    • one year ago
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    is that another way i can find that out besides making a table! OH YEAH THANKS A LOT and it is 4

  17. ganeshie8
    • one year ago
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    yes you could also make a table if that is not obvious

  18. ganeshie8
    • one year ago
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    so the probability for getting product of 12 is 4/36

  19. exoticinspirit
    • one year ago
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    i know just couldnt figure out another way wow i feel so dumb

  20. exoticinspirit
    • one year ago
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    then simplified to 1/9

  21. ganeshie8
    • one year ago
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    Looks good!

  22. exoticinspirit
    • one year ago
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    so hows this going to help me see the difference

  23. ganeshie8
    • one year ago
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    not really sure what the question is asking exactly

  24. exoticinspirit
    • one year ago
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    when you draw the table of possible outcomes lets say is the difference that the sum table has no probability of getting a one and the product table does like this |dw:1434390963140:dw|

  25. ganeshie8
    • one year ago
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    Ahh right, the sum can not be 1 because the minimum sum is 2

  26. exoticinspirit
    • one year ago
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    ohh ok so that is one of the rules for probability

  27. ganeshie8
    • one year ago
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    not rule as such, its just a trivial fact..

  28. exoticinspirit
    • one year ago
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    oh ok thanks thats all i needed :)

  29. ganeshie8
    • one year ago
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    np:)

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