NY-S.CP.2

Algebra IIConditional Probability and the Rules of Probability60 target questions

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.

Sample Practice Questions (3)

Based on the probabilities provided in the Venn diagram, are events

A

and

B

independent?

ANo, because

P (A \cap B) \neq = P (A) \cdot P (B)

BYes, because

P (A \cap B) = P (A) \cdot P (B)

CNo, because

P (A) + P (B) \neq = 1

DYes, because

P (A \cup B) = 0.8

Using the probability distribution table provided, determine if Event A and Event B are independent.

AIndependent, because

P (A \cap B) = P (A) \cdot P (B)

BDependent, because

P (A \cap B) \neq = P (A) \cdot P (B)

CIndependent, because

P (A) + P (B) = 0.9

DDependent, because

P (A) = P (B)

Based on the Venn diagram shown below, are events

A

and

B

independent?

AYes, because

P (A \cap B) = 0.1

BNo, because

0.5 \cdot 0.3 \neq = 0.1

CYes, because

0.4 + 0.2 + 0.1 + 0.3 = 1.0

DNo, because

P (A) = 0.4

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