Question

question 2 of 10
ethan rolls a 6 - sided number cube. what is the probability that he gets a number greater than 2?
a. $\frac{1}{3}$
b. $\frac{1}{6}$
c. $\frac{5}{6}$
d. $\frac{2}{3}$

Explanation:

Step1: Determine the total number of outcomes

A 6 - sided number cube has 6 possible outcomes (\(1,2,3,4,5,6\)). So \(n(S)=6\).

Step2: Determine the number of favorable outcomes

Numbers greater than 2 are \(3,4,5,6\). So \(n(E) = 4\).

Step3: Calculate the probability

The probability formula is \(P(E)=\frac{n(E)}{n(S)}\). Substituting the values, we get \(P(E)=\frac{4}{6}=\frac{2}{3}\).

Answer:

D. \(\frac{2}{3}\)