In an experiment, the probability that event A occurs is 43, the probability that event B occurs is 76, and the probability that events A and B both occur is 149. Are A and B independent events? Choices: (A) yes (B) no
Q. In an experiment, the probability that event A occurs is 43, the probability that event B occurs is 76, and the probability that events A and B both occur is 149. Are A and B independent events? Choices: (A) yes (B) no
Calculate individual probabilities: To check if events A and B are independent, we need to see if the probability of A and B occurring together (P(A and B)) is equal to the product of their individual probabilities (P(A)×P(B)).
Calculate product of probabilities: First, calculate the product of P(A) and P(B).P(A)×P(B)=(43)×(76).
Perform multiplication: Now, do the multiplication.(43)×(76)=2818.