Introduction to Probability and Relative Frequency

The video tutorial explores the relationship between relative frequency and probability, focusing on experimental and theoretical probabilities. It explains how to calculate relative frequency using dice rolls and compares it to theoretical probability. The tutorial also demonstrates using experimental data to make predictions, such as predicting rainy days. Theoretical probability is discussed, highlighting expectations under ideal conditions.

What is the relationship between relative frequency and experimental probability?

• Relative frequency is only used in theoretical probability.

• They are completely different concepts.

• Experimental probability is unrelated to relative frequency.

• Relative frequency is a type of experimental probability.

In the die roll experiment, what was the relative frequency of rolling a 4?

• 7 out of 36

• 6 out of 36

• 5 out of 36

• 8 out of 36

How does experimental probability change with more trials?

• It becomes less accurate.

• It becomes unpredictable.

• It remains the same.

• It gets closer to theoretical probability.

What was the experimental probability of rolling an even number in the 500 trials?

• 50.6%

• 60.2%

• 45.3%

• 55.1%

If it rained 5 days in July, how many days would you expect it to rain in August, assuming the pattern continues?

• 20 days

• 10 days

• 5 days

• 15 days

What is the theoretical probability of rolling a 6 on a fair die?

• 1 out of 6

• 1 out of 5

• 1 out of 4

• 1 out of 3

In theory, what is the probability of rolling an odd number on a fair die?

• 50%

• 33.3%

• 66.7%

• 25%