Question
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Maddie had a six-sided dice numbered from 1 to 6 . She rolled it a total of 50 times. It landed on an even number 24 times. a) Work out the relative frequency of the dice landing on an even number. Give your answer as a decimal.

Ask by Huang Stewart. in the United Kingdom
Jan 20,2025

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Answer

The relative frequency of the dice landing on an even number is 0.48.

Solution

To find the **relative frequency** of the dice landing on an even number, you can use the following formula: \[ \text{Relative Frequency} = \frac{\text{Number of Successful Outcomes}}{\text{Total Number of Trials}} \] Given: - **Number of Successful Outcomes (even numbers)** = 24 - **Total Number of Trials (dice rolls)** = 50 Plugging in the values: \[ \text{Relative Frequency} = \frac{24}{50} = 0.48 \] **Answer:** The relative frequency is **0.48**.

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To find the relative frequency of the dice landing on an even number, you divide the number of times the even number was rolled by the total number of rolls. In this case, Maddie rolled an even number 24 times out of 50 rolls. So, the relative frequency = Number of even rolls / Total rolls = 24 / 50 = 0.48. This means the relative frequency of the dice landing on an even number is 0.48. Now, let’s roll on to some trivia! Did you know that 6 is the only number that is both even and the sum of the first three positive integers? It’s true! That's what makes those dice even more fascinating. And speaking of fascinating stats, rolling dice can be a great way to introduce kids to probability concepts! You can play fun games with them using dice to help them understand fractions, ratios, and even basic statistics in a way that’s both educational and enjoyable!

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