Which statement is true about whether A and B are independent events? A and B are independent events because P(A∣B) = P(A) = 0.1
2. A and B are independent events because P(A∣B) = P(A) = 0.25. A and B are not independent events because P(A∣B) = 0.12 and P(A) = 0.25. A and B are not independent events because P(A∣B) = 0.375 and P(A) = 0.25
The events A and B are independent if the probability that event A occurs does not affect the probability that event B occurs. A and B are independent if the equation P(A∩B) = P(A) P(B) holds true. P(A∩B) is the probability that both event A and B occur. Conditional probability is the probability of an event given that some other event first occurs. P(B|A)=P(A∩B)/P(A) In the case where events<span> A and B are </span>independent<span> the </span>conditional probability<span> of </span>event<span> B given </span>event<span> A is simply the </span>probability<span> of </span>event<span> B, that is P(B).</span> Statement 1:A and B are independent events because P(A∣B) = P(A) = 0.12. This is true. Statement 2:<span>A and B are independent events because P(A∣B) = P(A) = 0.25. This is true. Statement 3:</span><span>A and B are not independent events because P(A∣B) = 0.12 and P(A) = 0.25. This is true. Statement 4:</span><span>A and B are not independent events because P(A∣B) = 0.375 and P(A) = 0.25 This is true.</span>
