To find the experimental probability of rolling a 3 or a 4, we first need to determine the total number of times either number was rolled.
Paige rolled a:
- Number 4: 14 times
- Number 3: 6 times
The total occurrences of rolling a 3 or a 4 is:
\[ 14 (for\ 4) + 6 (for\ 3) = 20 \]
Next, we know that she rolled the number cube a total of 64 times. The experimental probability \( P \) of rolling a 3 or a 4 is given by the formula:
\[ P(3\ or\ 4) = \frac{\text{Number of times 3 or 4 was rolled}}{\text{Total rolls}} = \frac{20}{64} \]
To simplify \( \frac{20}{64} \):
\[ \frac{20}{64} = \frac{5}{16} \]
Next, we calculate the decimal value of \( \frac{5}{16} \):
\[ \frac{5}{16} = 0.3125 \]
Now, we convert this decimal to a percentage by multiplying by 100:
\[ 0.3125 \times 100 = 31.25% \]
Finally, rounding to the nearest whole percent:
\[ 31.25% \approx 31% \]
Thus, the experimental probability of rolling a 3 or a 4, rounded to the nearest whole percent, is:
\[ \boxed{31%} \]
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