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Idealist

When rolling two dice, what is the probability that the sum is 7 given that one die is a 5?

  • one year ago
  • one year ago

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  1. geoffb
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    If one die is 5, there's only one possible result on the other die to get 7. What is the probability of rolling what you need?

    • one year ago
  2. DarkendSinz30
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    There are 6 x 6 or 36 options, all are equally likely, 7 occurs 6 times, so the chances are 6/36 or 1/6. hope this helps?

    • one year ago
  3. Idealist
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    I don't get it. What do you mean by 7 occurs 6 times?

    • one year ago
  4. dpaInc
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    to get a 7: dice1 dice2 1 6 2 5 3 4 4 3 5 2 6 1 six different ways.. now how many of those have a 5 showing?

    • one year ago
  5. satellite73
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    if you know that one die is a 5 then your sample space has only 6 elements in it of those six elements, exactly one gives a total of 7, namely (5,2)

    • one year ago
  6. satellite73
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    therefore your answer is \(\frac{1}{6}\)

    • one year ago
  7. sirm3d
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    there are 11 outcomes when one of the outcome is 5.

    • one year ago
  8. satellite73
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    @dpaInc is conditioning the other way that is, showing how to compute the probability that one die shows 5 given the total is 7

    • one year ago
  9. dpaInc
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    yep ur right... my bad....

    • one year ago
  10. sirm3d
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    (1,5), (2, 5), (3,5), (4,5), (5,5), (5,6), (5,1), (5,2), (5,3), (5,4), (6,5)

    • one year ago
  11. sirm3d
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    there are only of those 11 outcomes that have a sum 7. so the probability is 2/11

    • one year ago
  12. sirm3d
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    there are only 2 of those 11 outcomes that have a sum 7. so the probability is 2/11

    • one year ago
  13. Idealist
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    You guys are so helpful, thank you!

    • one year ago
  14. sirm3d
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    thanks for the medal, @DarkendSinz30

    • one year ago
  15. Idealist
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    You're welcome.

    • one year ago
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