anonymous
  • anonymous
When rolling two dice, what is the probability that the sum is 7 given that one die is a 5?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
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?
anonymous
  • anonymous
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?
anonymous
  • anonymous
I don't get it. What do you mean by 7 occurs 6 times?

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anonymous
  • anonymous
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?
anonymous
  • anonymous
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)
anonymous
  • anonymous
therefore your answer is \(\frac{1}{6}\)
sirm3d
  • sirm3d
there are 11 outcomes when one of the outcome is 5.
anonymous
  • anonymous
@dpaInc is conditioning the other way that is, showing how to compute the probability that one die shows 5 given the total is 7
anonymous
  • anonymous
yep ur right... my bad....
sirm3d
  • sirm3d
(1,5), (2, 5), (3,5), (4,5), (5,5), (5,6), (5,1), (5,2), (5,3), (5,4), (6,5)
sirm3d
  • sirm3d
there are only of those 11 outcomes that have a sum 7. so the probability is 2/11
sirm3d
  • sirm3d
there are only 2 of those 11 outcomes that have a sum 7. so the probability is 2/11
anonymous
  • anonymous
You guys are so helpful, thank you!
sirm3d
  • sirm3d
thanks for the medal, @DarkendSinz30
anonymous
  • anonymous
You're welcome.

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