What is the formula for calculating expected frequency in a probability experiment?

The formula for calculating expected frequency is: Expected Frequency = (Probability of Event) × (Total Number of Trials).

In more detail, the expected frequency is a way to predict how often an event will occur in a probability experiment. To calculate it, you need to know two things: the probability of the event happening and the total number of trials or experiments conducted.

For example, if you are rolling a fair six-sided die, the probability of rolling a 3 is 1/6. If you roll the die 60 times, you can use the formula to find the expected frequency of rolling a 3. Here, the probability of rolling a 3 is 1/6, and the total number of trials is 60. So, the expected frequency would be (1/6) × 60 = 10. This means you would expect to roll a 3 about 10 times out of 60 rolls.

This concept is very useful in statistics and probability because it helps you to predict outcomes over a large number of trials. It’s important to remember that the expected frequency is a theoretical value. In real-life experiments, the actual frequency might be slightly different due to random variations, but over a large number of trials, the actual frequencies tend to get closer to the expected frequencies.