## Standards derived from the same national standard

Understand the concept of conditional probability.

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 B given A is the same as the probability of B.

Using the conditional probability of A given B as P(A and B)/P(B), interpret the 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.

Know and 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.

Understand the conditional probability of π΄ given π΅ as π(π΄ and π΅)/π(π΅), and interpret independence of π΄ and π΅ as saying that the conditional probability of π΄ given π΅ is the same as the probability of π΄, and the conditional probability of π΅ given π΄ is the same as the probability of π΅.

Understand the conditional probability of π given π as π(π and π)/π(π), and interpret independence of π and π as saying that the conditional probability of π given π is the same as the probability of π, and the conditional probability of π given π is the same as the probability of π.

Understand the conditional probability of π΄ given π΅ as π(π΄ πππ π΅)/π(π΅). Interpret independence of π΄ and π΅ in terms of conditional probability; that is, the conditional probability of π΄ given π΅ is the same as the probability of π΄, and the conditional probability of π΅ given π΄ is the same as the probability of π΅.

Recognize 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.

Understand the conditional probability of π given π as π(π and π)/π(π), and interpret independence of π and π as saying that the conditional probability of π given π is the same as the probability of π, and the conditional probability of π given π is the same as the probability of π.

Understand the conditional probability of π΄ given π΅ as π(π΄ πππ π΅)/π(π΅). Interpret independence of π΄ and π΅ in terms of conditional probability; that is, the conditional probability of π΄ given π΅ is the same as the probability of π΄, and the conditional probability of π΅ given π΄ is the same as the probability of π΅.