Question

during an experiment, juan rolled a six - sided number cube 18 times. the number two occurred four times. juan claimed the experimental probability of rolling a two was approximately $\frac{1}{9}$. which of the following is true about juans claim? juans claim is incorrect. the correct experimental probability is $\frac{2}{9}$. juans claim is incorrect. the correct experimental probability is $\frac{1}{3}$. juans claim is incorrect. the correct experimental probability is $\frac{4}{9}$. juans claim is correct.

Explanation:

Step1: Recall experimental - probability formula

Experimental probability \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\)

Step2: Identify values

The number of times the number two (favorable outcome) occurred is 4, and the total number of rolls (total outcomes) is 18.

Step3: Calculate experimental probability

\(P = \frac{4}{18}=\frac{2}{9}\)

Answer:

Juan's claim is incorrect. The correct experimental probability is \(\frac{2}{9}\).