Question

1. what is the theoretical probability of rolling a 4 on a standard six - sided die?

a. $\frac{1}{4}$
b. $\frac{1}{6}$
c. $\frac{2}{6}$
d. $\frac{1}{3}$

Explanation:

Step1: Determine the number of favorable outcomes

The favorable outcome (rolling a 4) is 1.

Step2: Determine the total number of possible outcomes

A standard six - sided die has 6 possible outcomes (1, 2, 3, 4, 5, 6).

Step3: Use the probability formula

The probability formula is \(P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}\). So \(P(\text{rolling a }4)=\frac{1}{6}\).

Answer:

B. \(\frac{1}{6}\)