Question

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

Factors and multiples
ANSWERED
asked 2020-11-05

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.

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

A number less than 4 was rolled \(\times ?\).

The number cube was rolled \(\times ?\).

The relative frequency of rolling a number less than 4 is \(?\%\).

Answers (1)

2020-11-06

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: ​
\((\text{аrequency of rolling a number less than 4 total number of rolls}) \times 100%\)
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: ​
\(\displaystyle{\frac{{{18}}}{{{50}}}}\times{100}\%={18}\times{\frac{{{100}}}{{{50}}}}\%={18}\times{2}\%={36}\%\)

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