Seven slips of paper marked with the numbers 1, 2, 3, 4, 5, 6, and 7 are placed in a box and mixed well. Two are drawn. What are the odds that the sum of the numbers on the two slips is 8?

Question

turingtest · Answer

how many ways can you combine these numbers to add to 8 ?

turingtest · Answer

how many ways can you pull out 7 slips of paper 2 at a time?

anonymous · Answer

A
1 to 7

B
1 to 9

C
1 to 6

D
2 to 21

anonymous · Answer

I'm confused, @TuringTest  what are explaining?

turingtest · Answer

I don't understand your multiple choices o-0
I was trying to find the total number of ways to make 8 from two of those numbers divided by  the total number of ways to draw the two papers

anonymous · Answer

It's not asking for the number of ways. It's asking the odds

turingtest · Answer

at least I'm not getting any of those as an answer is what I mean, I must have made a mistake

anonymous · Answer

im confused completely...

turingtest · Answer

oh my mistake, only two at a time...
there are
1+7
2+6
3+5
----
3 ways to make 8

and there are 7 ways to draw the first number, and 6 ways to draw the second

ways to make 8
-------------                =            3/(7*6)=1/14
total ways to draw


hm.. not an answer choice

I'm sorry I guess I'm bad at probablility

turingtest · Answer

I'm bad at spelling it too

anonymous · Answer

hahah its okay! Thanks though:)

turingtest · Answer

good luck next time!

turingtest · Answer

oh wait, if the order of drawing them matter then there are twice as many ways to make 8
that is, if 1+7 is distinct from 7+1
that would double the number of ways to make 8, which $is$ an answer choice