two fair dice are rolled. What are the odds in favor of the event that the sum of the two numbers on the dice is 4

Question

A. 1 to 11

B. 1 to 12

C. 1 to 4

D. 1 to 3

 

Answer 1

odds are the chances that something WILL happen, compared to the chances that is WONT happen

 

ways to make a 4:

first a 1 then a 3

first a 2 then a 2

first a 3 then a 1

 

That's a total a three ways to get a sum of 4

 

there are a total a 36 different outcomes for rolling two dice; which means that if there are 3 ways to add up to 4, then there are 33 ways NOT to get a 4.

 

So that's 3 to 33, or 1 to 11