SOLUTION: Two fair dice are tossed. Find the odds against the sum being less than 4.

Algebra.Com
Question 865097: Two fair dice are tossed. Find the odds against the sum being less than 4.
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!



⚀⚀   ⚀⚁   ⚀⚂   ⚀⚃   ⚀⚄   ⚀⚅

⚁⚀   ⚁⚁   ⚁⚂   ⚁⚃   ⚁⚄   ⚁⚅

⚂⚀   ⚂⚁   ⚂⚂   ⚂⚃   ⚂⚄   ⚂⚅

⚃⚀   ⚃⚁   ⚃⚂   ⚃⚃   ⚃⚄   ⚃⚅

⚄⚀   ⚄⚁   ⚄⚂   ⚄⚃   ⚄⚄   ⚄⚅

⚅⚀   ⚅⚁   ⚅⚂   ⚅⚃   ⚅⚄   ⚅⚅

The red dice rolls ARE less than 4.
  
The blue ones are NOT less than 4.

Since it's odds AGAINST, count the blue ones first.

There are 33 of them. So we write that number first

33

Then after the 33 we put either a colon ":" or else the word "to".

33:   or  33 to

Next we count the red ones.

There are 3 of them.  So we write the number 3 after the colon or the
word "to":

33:3   or  33 to 3.

Now since you can divide both the 33 and the 3 by 3, you can write those
as

11:1   or  11 to 1.

Edwin


RELATED QUESTIONS

Two dice are rolled. Find the odds against a sum of 5. (answered by stanbon)
Two dice are rolled. What are the odds in favor of a sum less than 5? (answered by edjones)
two fair or unbiased, dice are tossed. what is the probability that the sum of the two... (answered by fcabanski)
two standard dice are rolled. what are the odds against rolling a sum of 4 or... (answered by josmiceli)
Two standard dice are rolled. What is the probability of the sum on the two dice being... (answered by stanbon)
Two standard dice are rolled. What is the probability of the sum on the two dice being... (answered by ilana)
Two fair dice are tossed. What is the probability that the sum of the top two faces is... (answered by ewatrrr)
if two fair dice are rolled find the probability that the sum of the dice is 5 given that (answered by htmentor)
Two fair dice are rolled. Find the odds for rolling a sum of 10. Now find the odds... (answered by Boreal,josmiceli)