Question

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?

Answer 1

@ganeshie8

Answer 2

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

Answer 3

36

Answer 4

Good, first consider sum of digits = 3

Answer 5

it can happen in two ways :

1 + 2
2 + 1

so 2 outcomes are in favor, whats the probability ?

Answer 6

1/9 ?

Answer 7

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

Answer 8

are you saying the probability for sum being 3 is 1/18 ?

Answer 9

yep

Answer 10

thats correct, next work the probability for product = 12

how many ways it can happen ?

Answer 11

ok i know the answer i just dont the why they wrote sum and product what is the DIFFERENCE

Answer 12

could you please elaborate a bit more, i feel i don't understand ur question properly..

Answer 13

whats probability of product

Answer 14

how many ways can you get a product of 12 ?

Answer 15

2*6
3*4
4*3
6*2

4 favorable outcomes, yes ?

Answer 16

is that another way i can find that out besides making a table! OH YEAH THANKS A LOT and it is 4

Answer 17

yes you could also make a table if that is not obvious

Answer 18

so the probability for getting product of 12 is 4/36

Answer 19

i know just couldnt figure out another way wow i feel so dumb

Answer 20

then simplified to 1/9

Answer 21

Looks good!

Answer 22

so hows this going to help me see the difference

Answer 23

not really sure what the question is asking exactly

Answer 24

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