Questions: Ethan rolls a 6-sided number cube. What is the probability that he gets a number greater than 2? A. 1/8 B. 1/3 C. 5/8 D. 2/3

Ethan rolls a 6-sided number cube. What is the probability that he gets a number greater than 2? A. 1/8 B. 1/3 C. 5/8 D. 2/3
Transcript text: Ethan rolls a 6 -sided number cube. What is the probability that he gets a number greater than $2 ?$ A. $\frac{1}{8}$ B. $\frac{1}{3}$ C. $\frac{5}{8}$ D. $\frac{2}{3}$
failed

Solution

failed
failed

Solution Steps

To find the probability that Ethan rolls a number greater than 2 on a 6-sided number cube, we first identify the favorable outcomes. The numbers greater than 2 are 3, 4, 5, and 6. There are 4 favorable outcomes. The total number of possible outcomes when rolling a 6-sided cube is 6. The probability is the ratio of favorable outcomes to the total number of outcomes.

Step 1: Identify Favorable Outcomes

To determine the probability of rolling a number greater than 2 on a 6-sided number cube, we first identify the numbers that satisfy this condition. The numbers greater than 2 are 3, 4, 5, and 6. Therefore, there are 4 favorable outcomes.

Step 2: Determine Total Possible Outcomes

A 6-sided number cube has 6 faces, each representing a possible outcome when rolled. Thus, the total number of possible outcomes is 6.

Step 3: Calculate the Probability

The probability \( P \) of rolling a number greater than 2 is given by the ratio of the number of favorable outcomes to the total number of possible outcomes: \[ P = \frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Possible Outcomes}} = \frac{4}{6} = \frac{2}{3} \approx 0.6667 \]

Final Answer

The probability that Ethan rolls a number greater than 2 is \(\boxed{\frac{2}{3}}\), which corresponds to option D.

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
4.-Respecto a las siguientes proyecciones de Newman para el butano A B C D El orden correcto según energía de repulsión creciente es: a) D < B < C < A b) A < B < C < D c) B < D < A < C d) A = C < B = D e) C < A < D < B 5.- El ácido esteárico es un ácido graso saturado de 18 átomos de carbono presente en aceites vegetales, grasas animales y vegetales. Considerando su estructura mostrada a continuación, indique qué características se esperaría para este compuesto puro. a) Sólido y oxidable b) Sólido y no oxidable c) Líquido y oxidable d) Líquido y no oxidable e) Ninguna de las anteriores
failedAnswered
Identify which of the graphs could be the graph of a polynomial function. f(x)=-x^2(x-2)(x+1)
failedAnswered
A chef adjusts a recipe to feed a large crowd. The adjusted recipe requires 48 cups of milk. How many gallons of milk does the chef need for the new recipe?
failedAnswered
Which of the following sports does not require a basic level of fitness when starting out? A. Downhill skiing B. Snorkeling C. Water skiing D. Orienteering
failedAnswered
Let p(t) represent the population of the Las Vegas metropolitan area t years after 1970, as shown in the table and figure. Answer parts (a) through (c). Year 1970 1980 1990 t 0 10 20 p(t) 305,000 528,000 853,000 Year 2000 2010 2020 t 30 40 50 p(t) 1,563,000 1,951,000 2,223,000 Source: U.S. Bureau of Census a. Compute the average rate of growth of the city population from 1980 to 1990. The average rate of growth is people/year. (Simplify your answer. Type an integer or a decimal.)