Question

suppose joan has a fair four - sided die with sides that are numbered 1, 2, 3, and 4. after she rolls it 20 times, joan finds that she’s rolled the number 3 six times. what is the empirical probability that joan rolls a 3? a. 6% b. 20% c. 25% d. 30%

Explanation:

Step1: Recall empirical - probability formula

Empirical probability $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$

Step2: Identify values

The number of favorable outcomes (rolling a 3) is $n = 6$, and the total number of outcomes is $N=20$.

Step3: Calculate probability

$P=\frac{6}{20}=0.3$

Step4: Convert to percentage

$0.3\times100\% = 30\%$

Answer:

D. 30%