How to calculate probability with multiple random events
Calculating probability with multiple random events is similar to calculating probability with a single event, however, there are several additional steps to reach a final solution. The following steps outline how to calculate the probability of multiple events:
Determine each event you will calculate.
Calculate the probability of each event.
Multiply all probabilities together.
1. Determine each event you will calculate
The first step for calculating the probability of multiple events occurring at the same time is to determine each of the events you want to work with. For instance, you might calculate the probabilities of rolling a six on two separate dice. Rolling each die separately represents one event. Using this example, we will calculate the probabilities of these two events occurring at the same time.
2. Calculate the probability of each event
Next, you can calculate the probability of rolling a six on one die and the probability of rolling a six on the other die. The probability for each event results in a 1/6 chance that you roll a six with either die. Using these results, you can then find the total probability of these two events happening simultaneously.
3. Multiply all probabilities together
Finally, you can multiply each probability together to get a total probability for all events that can occur. Using the dice example, you would calculate your total probability by multiplying the 1/6 chances you calculated in step two. Since each event has a 1/6 chance of happening, you need to multiply 1/6 x 1/6 to get a 1/36 chance of rolling a six on one die at the same time you roll a six with the other.
#probability #statistics #genetics
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