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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
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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geoffbBest ResponseYou've already chosen the best response.0
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

DarkendSinz30Best ResponseYou've already chosen the best response.0
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

IdealistBest ResponseYou've already chosen the best response.0
I don't get it. What do you mean by 7 occurs 6 times?
 one year ago

dpaIncBest ResponseYou've already chosen the best response.1
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

satellite73Best ResponseYou've already chosen the best response.0
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

satellite73Best ResponseYou've already chosen the best response.0
therefore your answer is \(\frac{1}{6}\)
 one year ago

sirm3dBest ResponseYou've already chosen the best response.1
there are 11 outcomes when one of the outcome is 5.
 one year ago

satellite73Best ResponseYou've already chosen the best response.0
@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

dpaIncBest ResponseYou've already chosen the best response.1
yep ur right... my bad....
 one year ago

sirm3dBest ResponseYou've already chosen the best response.1
(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

sirm3dBest ResponseYou've already chosen the best response.1
there are only of those 11 outcomes that have a sum 7. so the probability is 2/11
 one year ago

sirm3dBest ResponseYou've already chosen the best response.1
there are only 2 of those 11 outcomes that have a sum 7. so the probability is 2/11
 one year ago

IdealistBest ResponseYou've already chosen the best response.0
You guys are so helpful, thank you!
 one year ago

sirm3dBest ResponseYou've already chosen the best response.1
thanks for the medal, @DarkendSinz30
 one year ago
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