This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Here are the relative frequencies:
The total number of trials is 250. The formula for relative frequency is:
a) Find the relative frequency of throwing a 4.
Step 1: Identify the frequency of throwing a 4. From the table, the frequency of throwing a 4 is 42.
Step 2: Calculate the relative frequency.
Step 3: Simplify the fraction. The relative frequency of throwing a 4 is .
b) Find the relative frequency of throwing an even number.
Step 1: Identify the frequencies of even numbers. The even numbers on a die are 2, 4, and 6. Frequency of 2 = 43 Frequency of 4 = 42 Frequency of 6 = 42
Step 2: Calculate the total frequency of throwing an even number.
Step 3: Calculate the relative frequency. The relative frequency of throwing an even number is .
c) What is the relative frequency of throwing a 3 or 5.
Step 1: Identify the frequencies of throwing a 3 or 5. Frequency of 3 = 40 Frequency of 5 = 43
Step 2: Calculate the total frequency of throwing a 3 or 5.
Step 3: Calculate the relative frequency. The relative frequency of throwing a 3 or 5 is .
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The total number of trials is 250. The formula for relative frequency is: Relative Frequency = Number of successful trialsTotal number of trials a) Find the relative frequency of throwing a 4.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.