Using Theoretical Probability to Predict Event Frequency

The video tutorial explains how to predict the frequency of an event using theoretical probability. It begins with an example of rolling a six-sided die and predicting the occurrence of specific outcomes. The lesson covers the use of ratios to represent parts of a whole and addresses common mistakes in understanding probability, such as not creating equal parts. The tutorial also demonstrates how to calculate theoretical probability using examples like a spinner and a die, emphasizing the importance of equal sections. By the end, viewers learn to predict outcomes based on theoretical probability.

If you roll a six-sided die 600 times, how many times would you expect to roll a three or a six?

• 400 times

• 300 times

• 200 times

• 100 times

What fraction of a circle is colored blue if 3 out of 8 sections are blue?

• 1/2

• 1/3

• 3/8

• 1/4

What is a common mistake students make when calculating probability?

• Ignoring the total number of outcomes

• Not creating equal parts

• Using the wrong formula

• Overestimating the probability

In the spinner example, what is the correct probability of landing on blue?

• 1/3

• 1/4

• 1/2

• 2/3

How do you calculate the expected number of times to roll a three or six in 600 rolls?

• Multiply 1/6 by 600

• Multiply 1/3 by 600

• Multiply 1/2 by 600

• Multiply 1/4 by 600