Ethan rolls a 6-sided number cube. What is the probability that he gets a number less than 3?
A. $\frac{2}{3}$
B. $\frac{1}{6}$
C. $\frac{5}{6}$
D. $\frac{1}{3}$
Answer (2)
Identify numbers less than 3 on a 6-sided die: 1 and 2.
Count the favorable outcomes: 2.
Count the total possible outcomes: 6.
Calculate the probability: 6 2 = 3 1 .
Explanation
Understand the problem We want to find the probability that Ethan rolls a number less than 3 on a 6-sided number cube.
Identify favorable outcomes The numbers on a 6-sided number cube that are less than 3 are 1 and 2.
Count favorable outcomes There are 2 favorable outcomes (1 and 2).
Count total outcomes The total number of possible outcomes when rolling a 6-sided number cube is 6 (1, 2, 3, 4, 5, 6).
Calculate the probability The probability of rolling a number less than 3 is the number of favorable outcomes divided by the total number of possible outcomes: P ( n u mb er < 3 ) = t o t a l n u mb ero f o u t co m es n u mb ero ff a v or ab l eo u t co m es = 6 2 = 3 1
State the final answer The probability that Ethan gets a number less than 3 is 3 1 . Therefore, the answer is D.
Examples
This type of probability problem is useful in games of chance, such as board games or card games, where you need to calculate the likelihood of certain events occurring. For example, if you're playing a board game and need to roll a number less than 3 to move forward, knowing the probability helps you understand your chances of success. It also forms the basis for understanding more complex probability scenarios in statistics and data analysis.
The probability that Ethan rolls a number less than 3 on a 6-sided number cube is 3 1 . Therefore, the correct answer is D.
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