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

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geoffb
 3 years ago
Best ResponseYou've already chosen the best response.0If 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?

DarkendSinz30
 3 years ago
Best ResponseYou've already chosen the best response.0There 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?

Idealist
 3 years ago
Best ResponseYou've already chosen the best response.0I don't get it. What do you mean by 7 occurs 6 times?

dpaInc
 3 years ago
Best ResponseYou've already chosen the best response.1to 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?

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.0if 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)

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.0therefore your answer is \(\frac{1}{6}\)

sirm3d
 3 years ago
Best ResponseYou've already chosen the best response.1there are 11 outcomes when one of the outcome is 5.

satellite73
 3 years ago
Best 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

dpaInc
 3 years ago
Best ResponseYou've already chosen the best response.1yep ur right... my bad....

sirm3d
 3 years ago
Best 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)

sirm3d
 3 years ago
Best ResponseYou've already chosen the best response.1there are only of those 11 outcomes that have a sum 7. so the probability is 2/11

sirm3d
 3 years ago
Best ResponseYou've already chosen the best response.1there are only 2 of those 11 outcomes that have a sum 7. so the probability is 2/11

Idealist
 3 years ago
Best ResponseYou've already chosen the best response.0You guys are so helpful, thank you!

sirm3d
 3 years ago
Best ResponseYou've already chosen the best response.1thanks for the medal, @DarkendSinz30
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