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question 10 of 10 ethan rolls a 6 - sided number cube. what is the prob…

Question

question 10 of 10
ethan rolls a 6 - sided number cube. what is the probability that he gets a number less than 4?
a. $\frac{2}{3}$
b. $\frac{1}{3}$
c. $\frac{1}{2}$
d. $\frac{1}{6}$

Explanation:

Step1: Determine total outcomes

A 6 - sided cube has 6 possible outcomes ($1,2,3,4,5,6$).

Step2: Determine favorable outcomes

Numbers less than 4 are $1,2,3$. So there are 3 favorable outcomes.

Step3: Calculate probability

Probability formula is $P=\frac{\text{favorable outcomes}}{\text{total outcomes}}$. So $P = \frac{3}{6}=\frac{1}{2}$.

Answer:

C. $\frac{1}{2}$