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
Question 7 of 16, Step 1 of 1 Classify the following data. Indicate whether the data is qualitative or quantitative, indicate whether the data is discrete, continuous, or neither, and indicate the level of measurement for the data. You toss a coin and record "head" as 1 and "tail" as 2. Are these data qualitative or quantitative? Qualitative Quantitative Are these data discrete or continuous? Discrete Continuous Neither What is the highest level of measurement the data possesses? Nominal Ordinal Interval Ratio
failedAnswered
A rectangle is drawn so that the width is 2 feet shorter than the length. The area of the rectangle is 63 square feet. Find the length of the rectangle.
failedAnswered
Curve (y=frac9x^2+4(-2 textdm<x<2 textdm)), along which lines must the supports be directed if they are located at (x=-1, x=0), and (x=1) ?
failedAnswered
Let f(x) = (x^2 - 1) / (x - 1) (a) Make tables of the values of f at values of x that approach x0 = -1 from above and below. Then estimate the limit as x approaches -1 of f(x). (b) Support your conclusion in part (a) by graphing f near x0 = -1 and using Zoom and Trace to estimate y-values on the graph as x approaches -1. (c) Find the limit as x approaches -1 of (x^2 - 1) / (x - 1) algebraically. (a) Complete the table given below.
failedAnswered
The minute hand of a clock is 3 inches long. How far does the tip of the minute hand move in 35 minutes? How far does it move in 40 minutes? The tip of the minute hand moves inches in 35 minutes.