In probability what is the difference between finding the product and the sum of a number. For example, I roll 2 dice numbered 1-6 what is the probability that i get a product of 12? another question for sum is i roll two dice numbered 1-6 what is the probability i get the sum of 3?

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In probability what is the difference between finding the product and the sum of a number. For example, I roll 2 dice numbered 1-6 what is the probability that i get a product of 12? another question for sum is i roll two dice numbered 1-6 what is the probability i get the sum of 3?

Mathematics
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How many total possible outcomes are there when you roll 2 dice ?
36

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Good, first consider sum of digits = 3
it can happen in two ways : 1 + 2 2 + 1 so 2 outcomes are in favor, whats the probability ?
1/9 ?
i know the probability of the sum of 3 would be 1/18 but i dnt know the difference between product and sum and why do they have to subtract 1 to make it 2/36 instead of 3/36 and just simplify
are you saying the probability for sum being 3 is 1/18 ?
yep
thats correct, next work the probability for product = 12 how many ways it can happen ?
ok i know the answer i just dont the why they wrote sum and product what is the DIFFERENCE
could you please elaborate a bit more, i feel i don't understand ur question properly..
whats probability of product
how many ways can you get a product of 12 ?
2*6 3*4 4*3 6*2 4 favorable outcomes, yes ?
is that another way i can find that out besides making a table! OH YEAH THANKS A LOT and it is 4
yes you could also make a table if that is not obvious
so the probability for getting product of 12 is 4/36
i know just couldnt figure out another way wow i feel so dumb
then simplified to 1/9
Looks good!
so hows this going to help me see the difference
not really sure what the question is asking exactly
when you draw the table of possible outcomes lets say is the difference that the sum table has no probability of getting a one and the product table does like this |dw:1434390963140:dw|
Ahh right, the sum can not be 1 because the minimum sum is 2
ohh ok so that is one of the rules for probability
not rule as such, its just a trivial fact..
oh ok thanks thats all i needed :)
np:)

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