Answer
The exprerimental probabilities are:
Number 1 $\approx$ $15.67\%$
Number 2 $\approx$ $16.42\$%$
Number 3 $\approx$ $16.79\%$
Number 4 $\approx$ $16.42\%$
Number 5 $\approx$ $17.54\%$
Number 6 $\approx$ $17.16\%$
Work Step by Step
The total number of times the number cube was rolled is:
$=42+44+45+44+47+46=268$
The experimental probability of an event can be computed using the formula
$P(E)=\dfrac{\text{number of favorable outcomes}}{\text{total number of times the experiment was done}}$
Thusm the experimental probabilities in the given experiment are:
$P(1)=\dfrac{42}{268}=\dfrac{21}{134}\approx15.67\%$
$P(2)=\dfrac{44}{268}=\dfrac{11}{67}\approx 16.42\%$
$P(3)=\dfrac{45}{268}\approx 16.79\%$
$P(4)=\dfrac{44}{268}=\dfrac{11}{67}\approx 16.42\%$
$P(5)=\dfrac{47}{268}\approx 17.54\%$
$P(6)=\dfrac{46}{268}=\dfrac{23}{134}\approx 17.16\%$