64
QuizMultiple Choice

Solving for Angle Measures of Right Triangles — Unit test

Question 64 • *CR CCSS Math 2 S2 [M2960OX]

The probability for event A is 0.4, the probability for event B is 0.2, and the probability of events A and B is 0.1.Why are the events not independent?

Answer
A
The sum of P(A) and P(B) is greater than P(A and B).
B
The product of P(A) and P(B) is greater than P(A and B).
C
The product of P(A) and P(B) is not equal to P(A and B).
D
The sum of P(A) and P(B) is not equal to P(A and B).

Explanation

For independent events, the probability that both occur must equal the product of their individual probabilities: P(A and B) = P(A) × P(B). Here, 0.4 × 0.2 = 0.08, but P(A and B) is 0.1. Since these values are not equal, the events are not independent. Choice C states this condition.

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