The easiest way to see the answer to this problem is to make a 6x6 grid with 1 to 6 across the top and 1 to 6 down the left side. Then count up the blocks where 1) the top and left entries are the same (doubles) or 2) the sum of the top and left entries is either 6 or 8. Call that number p. The odds against are (36-p):p.
Your thought process was correct but you picked up 15 instead of 18!
Your odds against are 11:7.
Kyra J.
I realized that it was supposed to be like this, P(A) = 14/36 = 7/18, P(A') = 1-7/18 = 11/18, then use A = h/k-h, odds in favour = 11 = h / 18 = k, 11/18-11 = 11/7. But what I don't understand is that you are finding the odds against, I always did that with all other questions like this and got the right answer, but not this one04/28/21
Kyra J.
Hi thank you so much, so would the answer be 8/15? I did P(A) = 14/36 -> 7:18, used P(A) = h / k+h, odds in favour = 7 (h) : 8 (k) -> P(A) = 7 / 8+7 = 7/15, P(A) = 1 - 7/15 = 8/15 -> 8:15.04/26/21