Back to Understand conditional probability — Problem 1 · Task Set 20

Exercises: Understand the Conditional Probability of A Given B as P(A and B)/P(B)

Work through each section in order. Show your reasoning where indicated. For explanation problems, write in complete sentences. Express probabilities as fractions in lowest terms or as decimals where requested.

Grade 10·20 problems·~35 min·Common Core Math - HS Statistics and Probability·group·hss-cp-a-3

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Warm-Up: Probability Foundations

These problems review skills you already know.

From HSS.CP.A.2, two events $A$ and $B$ are independent when which equation holds?

$P(A \text{ and } B) = P(A) \cdot P(B)$

$P(A \text{ and } B) = 0$

$P(A \text{ and } B) = P(A) + P(B)$

$P(A) = P(B)$