standard_description: Understand the conditional probability of A given B as P(A and B)/P(B), and interpret independence of A and B as saying that the conditional probability of A given B is the same as the probability of A, and the conditional probability of B given A is the same as the probability of B.
problem_activity: Task
Cecil has two six-sided dice, a red one and a white one.
If Cecil throws the two dice, what is the probability that the red die is a 1?  What is the probability that the sum of the dice is 7?
Are the two events described part (a) independent?  Explain.
What is the probability that the red die is a 2?
What is the probability that the sum of the two dice is 10?
Are the two events described in part (c) independent?  Explain.


aligns: yes