 # An eighth-grade class rolls a number cube with faces labeled 1 through 6. Braxton Pugh 2020-11-05 Answered

An eighth-grade class rolls a number cube with faces labeled 1 through 6.

The results of 50 rolls are recorded in the table below.

Find the relative frequency that a number less than 4 is rolled.

$\begin{array}{|ccccccc|}\hline \text{Outcome}& 11& 22& 33& 44& 55& 66\\ \text{Frequency}& 66& 44& 88& 1212& 1010& 1010\\ \hline\end{array}$

A number less than 4 was rolled $×?$.

The number cube was rolled $×?$.

The relative frequency of rolling a number less than 4 is $?\mathrm{%}$.

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The numbers less than 4 are 1, 2, and 3. From the table, a 1 was rolled 6 times, a 2 was rolled 4 times, and a 3 was rolled 8 times. Therefore, a number less than 4 was rolled $6+4+8=18$ times ​
It is given that the number cube was rolled 50 times. ​
The relative frequency of rolling a number less than 4 is: ​
$\left(\text{аrequency of rolling a number less than 4 total number of rolls}\right)×100$
Since a number less than 4 was rolled 18 times and the total number of rolls is 50, then the relative frequency of rolling a number less than 4 is: ​
$\frac{18}{50}×100\mathrm{%}=18×\frac{100}{50}\mathrm{%}=18×2\mathrm{%}=36\mathrm{%}$