Question

How do you find the experimental probability of a compound event?

Answer 1

To find the probability of a compound event, you just need to find the probability of the simple events which occurred and multiply all of them to get the probability of the compound event. Basically a compound event is the numerous occurrences of a simple event.

Complete step by step solution:
Here is the complete step by step solution.
First we need to know what a compound event is. A compound event is an event which is the combination of various events or the occurrence of a simple event more than one time or multiple times.
The next is to find the probability of the compound event. For this we just need to find the probability of the simple events and then multiply them.
For example the probability of tossing a coin to get a tail is $\dfrac{1}{2}$ .
Next, the probability of rolling a dice with a 2 if $\dfrac{1}{6}$ .
If you need to find the probability of the compound event like , the probability of rolling a dice with 2 and tossing a coin to get tail is $\dfrac{1}{2} \times \dfrac{1}{6} = \dfrac{1}{12}$ .
Therefore, the answer is $\dfrac{1}{12}$.

Note: Please note that this simple multiplication is only for independent events. Here the rolling of a die is independent of tossing a coin. For dependent events, you need to multiply the first and the second event only after the first event occurs. Then you get the probability for the compound events.