Question

juanita rolls a number cube x times. for which value of x are the experimental probability and the theoretical probability most likely to be equivalent? 1,000 600 1 6

Explanation:

Step1: Determine theoretical probability

A standard number cube has 6 faces. The theoretical probability of rolling any one face (e.g., getting a particular number) is \(P=\frac{1}{6}\).

Step2: Calculate experimental probability for each value of \(x\)

• For \(x = 1\): Experimental probability \(P=\frac{1}{1}\) (not equal to \(\frac{1}{6}\)).
• For \(x = 6\): Experimental probability \(P=\frac{1}{6}\) (equal to theoretical probability).
• For \(x = 600\): Experimental probability \(P=\frac{1}{600}\) (not equal to \(\frac{1}{6}\)).
• For \(x = 1000\): Experimental probability \(P=\frac{1}{1000}\) (not equal to \(\frac{1}{6}\)).

Answer:

6