If A and B are independent events, how do you find P(A and B)?

To find the probability of two independent events A and B occurring together, you multiply their individual probabilities. This is because the occurrence of one event does not influence the occurrence of the other when events are independent.

When calculating P(A and B), you use the formula P(A and B) = P(A) × P(B). This reflects the idea that the total probability of both events happening is the product of their respective probabilities.

For example, if the probability of event A happening is 0.5 and the probability of event B happening is 0.3, then the probability of both events A and B occurring is calculated as follows: P(A and B) = 0.5 × 0.3 = 0.15.

In contrast, the other options provided do not apply to independent events. Adding their probabilities (P(A) + P(B)) would result in an inaccurate measure, as it does not consider the actual intersection of the two events. Subtracting the probabilities (P(A) - P(B)) also does not represent a correct measure of either event occurring together, as probabilities cannot be negative. Finally, dividing the probabilities (P(A) / P(B)) does not provide a meaningful measure of their joint occurrence