Algebra 1 B ASU Prep Digital

Question

Given the following probabilities, determine whether the events A and B are independent or dependent.

P(A)=2/3 P(B)=1/4 P(A and B)=1/6

1. A and B are dependent. We know this is true because P(A and B) ≠ P(A)×P(B).
2. A and B are independent. We know this is true because P(A and B) ≠ P(A)×P(B).
3. A and B are dependent. We know this is true because P(A and B) = P(A)×P(B)
4. A and B are independent. We know this is true because P(A and B) = P(A)×P(B).

Answer 1

Here's what you need to know to solve this problem:

1. For independent events, P(A and B) = P(A)*P(B).
2. For dependent events P(A and B) ≠ P(A)*P(B).

The problem gives you the values of P(A), P(B), and P(A and B), so do the math and you should be able to figure out the correct answer.