Two fair dice are tossed. a. what is the probability that the sum of the number of dots shown on the upper faces is equal to 7? to 11? b.what is the probability that you roll "doubles" that is, both dice have the same number on the upper face? c. what is the probability that both dice show an odd number?

there are 6 possibilities on each dice.  Therefore 6 x 6 = 36 possible outcomes.

What is the probability that the sum of the number of dots shown on the upper faces is equal to 7?  

1,6   2,5   3,4   4,3   5,2   6,1  there are 6 possible ways to get 7

6/36 = 1/6 = .1666...

What is the probability that the sum of the number of dots shown on the upper faces is equal to 11?

5,6    6,5    there are 2 possible ways to get 11

2/36 = 1/18 = .0555...

What is the probability that you roll "doubles" that is, both dice have the same number on the upper face?

1,1    2,2   3,3    4,4   5,5    6,6  there are 6 possible ways to get doubles

6/36 = 1/6 = .1666...

What is the probability that both dice show an odd number?

1,1   1,3   1,5   3,1   3,3    3,5   5,1    5,3   5,5   there are 9 possible ways that both dice show an odd number

9/36 = 1/4 = .25

The cube root of 27 is 3!!