You toss two fair dice, one red and one blue. How many different ways can they land? What is the probability that the sum of the dots on the face of the die is 7?

Question

You toss two fair dice, one red and one blue.  How many different ways can they land? What is the probability that the sum of the dots on the face of the die is 7?

xapproachesinfinity · Answer

one die can land in 6 different way
so two dice will have 6+6 ways which 12 ways makes sense?

anonymous · Answer

Yeah I'm following! @xapproachesinfinity

xapproachesinfinity · Answer

so part one is done

lochana · Answer

so first we need to find all ways of landing of two dices.
all situations = 6^2 = 36
now you need situations where sum of dots is 7

it can be 
1+6
2+5
3+3
4+2
5+2
6+1

total = 6

probability = 6/36 =1/6

lochana · Answer

is it 12? I am confused @xapproachesinfinity

xapproachesinfinity · Answer

now we are looking for possible pairs that sum up to 7
we have 1+6
6+1
3+4
4+3
2+5
5+2
that makes 6 ways we can have a sum of 7

xapproachesinfinity · Answer

so portability then is 6/12 chances =1/2

anonymous · Answer

oh my!

lochana · Answer

|dw:1447130973055:dw|

anonymous · Answer

and i was gong to retire for the evening

xapproachesinfinity · Answer

oh pellet should be 36 possible outcomes

xapproachesinfinity · Answer

my bad

anonymous · Answer

ok whew
gn

lochana · Answer

this is how faces of dices can be turned .@xapproachesinfinity  am i wrong?

xapproachesinfinity · Answer

no i was wrong bad habit of making errors

xapproachesinfinity · Answer

we 6 by 6 possibilities giving us 36 different outcomes

anonymous · Answer

Okay! so then the 6/36 would be 1/6 for the probability of the second half?

xapproachesinfinity · Answer

yes correct

xapproachesinfinity · Answer

sorry for the first error

anonymous · Answer

@xapproachesinfinity You're fine! I appreciate your help. I had no clue how to work with the dice so that helped a lot. Thank you!!!

xapproachesinfinity · Answer

you might be saying why it is 36
if you try to pull all different possible pairs 
you going to get 36 of them

anonymous · Answer

Okay, gotcha!

xapproachesinfinity · Answer

here i want to put the table but cutting time and use the internet is better http://i.stack.imgur.com/9CoBC.gif

xapproachesinfinity · Answer

this table shows all possible pairings we can have with to dice

xapproachesinfinity · Answer

somehow the ones that add up to 7 lie in diagonal lol

xapproachesinfinity · Answer

can you see that?

xapproachesinfinity · Answer

i guess you couldn't see it lol

anonymous · Answer

I'm so sorry haha I just saw this! But thank you so much. That makes so much sense!! @xapproachesinfinity