Question

a number cube was rolled as part of an experiment. the results are in the table below. the fraction \\(\frac{1}{x}\\) is the experimental probability of rolling a 3. what is \\(x\\)?\
\

experiment results							\
---	---	---	---	---	---	---	\
number	1	2	3	4	5	6	\
frequency	4	6	5	7	3	5	\

\
\\(\circ\\) 2\
\\(\circ\\) 3\
\\(\circ\\) 5\
\\(\circ\\) 6

Explanation:

Step1: Calculate total rolls

Add all frequencies:
$4 + 6 + 5 + 7 + 3 + 5 = 30$

Step2: Find experimental probability of 3

Divide frequency of 3 by total rolls:
$\text{Probability} = \frac{5}{30} = \frac{1}{6}$

Step3: Match to $\frac{1}{x}$ to find $x$

Set $\frac{1}{x} = \frac{1}{6}$, so $x=6$.

Answer:

D. 6