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Sparx Maths
4,556 XP
Bol Graham


4 C
4D
4E
Summary
Bookwork code: 4C
nillowed
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.
b) If the dice were fair, what would the theoretical probability of it landing on an even number be? Give your answer as a decimal.

Ask by Love West. in the United Kingdom
Jan 20,2025

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Answer

a) The relative frequency of the dice landing on an even number is 0.48.
b) The theoretical probability of rolling an even number is 0.5.

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Mind Expander

To work out the relative frequency of Maddie’s dice landing on an even number, you take the number of times it landed on even numbers and divide it by the total number of rolls. So, .
Now, for the theoretical probability, since there are three even numbers (2, 4, and 6) out of the six possible outcomes on a fair six-sided die, the theoretical probability is . So, Maddie’s experimental results actually show a bit of variance from what theory expects, which is quite common in probability experiments!

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