The two numbers rolled can be added to get a sum. Find P(sum is even).

A. one-fourth
B. start fraction 15 over 36 end fraction
C. one-half
D. start fraction 3 over 4 end fraction

3 answers

To get an even sum, we need to have one even and one odd number when we add the two dice together. There are 3 even numbers and 3 odd numbers on a standard die, so the probability of rolling an even and an odd is:

3/6 × 3/6 = 9/36

And the probability of rolling an odd and an even (which is the same probability) is also 9/36. So the total probability of rolling an even sum is:

9/36 + 9/36 = 18/36 = 1/2

Therefore, the answer is (C) one-half.
While remodeling the house, you have 3 choices of paint color, 4 choices of carpet color, and 5 choices of furniture style. How many different groupings will you be able to make using one paint color, one carpet color, and one furniture style?
A. 20
B. 50
C. 60
D. 80
To find the total number of groupings, we need to multiply the number of choices for each category:

3 choices of paint color × 4 choices of carpet color × 5 choices of furniture style = 60

Therefore, there are 60 different groupings possible.

The answer is (C) 60.