Probability Pattern Finding:

Twonormal 6-sided dice are thrown and the two numbers are added together. When this is done there are 36 different possibilities

Draw a table showing these possibilities:

1. a. Find the probability that we get a total of 4.

b. What is the probability that we get a number divisible by 4?

c. What is the probability that we get a number divisible by 2?

d. What is the probability that we get a number divisible by 3?

e. What is the probability that we get a number divisible by 6?

2. a. Make a conjecture about the probability that we get a number divisible by n?

b. Express your conjecture mathematically(write it as a formula).

c. Investigate the truth of your conjecture.

d. When is your conjecture true and when is it false?