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

This Question is Closed

geoffb Group TitleBest 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?
 2 years ago

DarkendSinz30 Group TitleBest 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?
 2 years ago

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

dpaInc Group TitleBest 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?
 2 years ago

satellite73 Group TitleBest 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)
 2 years ago

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

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

satellite73 Group TitleBest 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
 2 years ago

dpaInc Group TitleBest ResponseYou've already chosen the best response.1
yep ur right... my bad....
 2 years ago

sirm3d Group TitleBest 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)
 2 years ago

sirm3d Group TitleBest 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
 2 years ago

sirm3d Group TitleBest 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
 2 years ago

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

sirm3d Group TitleBest ResponseYou've already chosen the best response.1
thanks for the medal, @DarkendSinz30
 2 years ago

Idealist Group TitleBest ResponseYou've already chosen the best response.0
You're welcome.
 2 years ago
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