Question

1. What is the theoretical probability of rolling a sum less than 5 using two number cubes?
a.1/6
b.1/4
c.1/2
d.3/4

2. Segments parallel to the sides are used to divide a square board 3 ft on each side into 9 equal-size smaller squares. If the board is in a level position and a grain of rice lands on the board at a random point, what is the probability that it lands on a corner section?
a.2/9
b.1/3
c.4/9
d.5/9

For #1 I think the answer is c.1/2 because 2 die=12 so 1+1,1+2,1+3,2+1,2+2,3+1=6(sets). so 6/12=1/2. For the second one, I'm not even sure what the question is asking. Any help would be really helpful. If you could include an explanation that would be great. I don't just want an answer, I want to be able to understand how to do this kinds of problems correctly.

Answer 1

1. But there are 36 combinations for two dice. 6/36 = ?

2. There are nine squares and only 4 corners. What does that tell you?