## Standards derived from the same national standard

Understand that if two events π΄ and π΅ are independent, the probability of π΄ and π΅ occurring together is the product of their probabilities, and that if the probability of two events π΄ and π΅ occurring together is the product of their probabilities, the two events are independent.

Understand and use the multiplication rule to calculate probabilities for independent and dependent events. Understand that two events A and B are independent if the probability of A and B occurring together is the product of their probabilities, and use this characterization to determine if they are independent.

Understand that two events A and B are independent if the probability of A and B occurring together is the product of their probabilities, and use this characterization to determine if they are independent.

Explain whether two events, A and B, are independent, using two-way tables or tree diagrams.

Understand that two events π and π are independent if the probability of π and π occurring together is the product of their probabilities, and use this characterization to determine if they are independent.

Understand that two events π and π are independent if the probability of π and π occurring together is the product of their probabilities, and use this characterization to determine if they are independent.

Use the multiplication rule to calculate probabilities for independent and dependent events. Understand that two events A and B are independent if the probability of A and B occurring together is the product of their probabilities, and use this characterization to determine if they are independent.

Understand that two events A and B are independent if the probability of A and B occurring together is the product of their probabilities, and use this characterization to determine if they are independent.

Understand that two events π΄ and π΅ are independent if the probability of π΄ and π΅ occurring together is the product of their probabilities, and use this characterization to determine if they are independent.

Understand that two events π and π are independent if the probability of π and π occurring together is the product of their probabilities, and use this characterization to determine if they are independent.