Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

finding experimental probability paige rolls a number cube sixty - four…

Question

finding experimental probability
paige rolls a number cube sixty - four times. the number 4 comes up fourteen times. the number 3 comes up six times. rounded to the nearest whole percent, what is the experimental probability of rolling a 3 or 4?
%

Explanation:

Step1: Calculate total favorable outcomes

The number 4 comes up 14 times and the number 3 comes up 6 times. So the total number of favorable outcomes is $14 + 6=20$.

Step2: Calculate experimental probability

The total number of rolls is 64. The experimental - probability formula is $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of trials}}$. So $P=\frac{20}{64}=\frac{5}{16}$.

Step3: Convert to percentage

To convert $\frac{5}{16}$ to a percentage, we calculate $\frac{5}{16}\times100\% = 31.25\%$.

Step4: Round to nearest whole percent

Rounding 31.25% to the nearest whole percent gives 31%.

Answer:

31%