Use the general multiplication rule to calculate probabilities.
Use a tree diagram to model a chance process involving a sequence of outcomes and to calculate probabilities.
When appropriate, use the multiplication rule for independent events to calculate probabilities.
Use tree diagrams to investigate whether it is better to switch or to stay when playing the Monty Hall game.
Subject: Re: Why use multiplication to find the probability of two events
Thinking of probability as the fraction of the time that something will happen may make this clearer.
If event A happens 1/2 of the time, and event B happens 1/3 of the time, and events A and B are independent, then event B will happen 1/3 of the times that event A happens, right?
And to find 1/3 of 1/2, we multiply.
The probability that events A and B both happen is 1/6.