Math Problem Statement

Work out the relative frequency of tails. Give your answer as a fraction in its simplest form.

Solution

The problem is asking for the relative frequency of tails from the table provided, where:

  • Heads appeared 8 times,
  • Tails appeared 2 times,
  • A total of 10 coin flips occurred.

The formula for relative frequency is:

Relative frequency=Number of favorable outcomesTotal number of trials\text{Relative frequency} = \frac{\text{Number of favorable outcomes}}{\text{Total number of trials}}

In this case, the relative frequency of tails is:

Number of tailsTotal flips=210\frac{\text{Number of tails}}{\text{Total flips}} = \frac{2}{10}

Now, simplify the fraction:

210=15\frac{2}{10} = \frac{1}{5}

Thus, the relative frequency of tails is 1/5.

Would you like more details on the process? Here are five related questions:

  1. What is the relative frequency of heads in this case?
  2. How would the relative frequency change if tails appeared 5 times instead of 2?
  3. What is the difference between experimental and theoretical probability?
  4. How can we use relative frequency to predict future outcomes in probability experiments?
  5. How does increasing the number of trials affect the accuracy of relative frequency?

Tip: The more trials you conduct, the closer the relative frequency will generally get to the theoretical probability.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Probability
Relative Frequency
Simplifying Fractions

Formulas

Relative frequency = (Number of favorable outcomes) / (Total number of trials)

Theorems

-

Suitable Grade Level

Grades 5-7