Question

The General Method for computing conditional probabilities provides a way to compute probabilities for events of the form "A and B." If we multiply both sides of the equation by P(A), we obtain the General Multiplication Rule.

Could you explain the General Multiplication Rule and how it is used to compute probabilities for events of the form "A and B"?

Answer 1

The General Multiplication Rule is used to compute probabilities for events of the form "A and B." It involves calculating the conditional probability P(A|B) and then multiplying it by the probability of event B, P(B), to find the probability of both events A and B occurring together.

Step-by-step explanation:

The General Multiplication Rule is used to compute probabilities for events of the form "A and B."

It is derived from the General Method for computing conditional probabilities.

To use the General Multiplication Rule, first compute the conditional probability P(A|B), which is the probability of event A occurring given that event B has already occurred.

Then, multiply this conditional probability by the probability of event B, P(B), to obtain the probability of both events A and B occurring together, P(A AND B) = P(B) * P(A|B).