Probability Concepts Calculator

Ask and get solution to your homeworkAsk now and get step-by-step solutions

Example

Created on 2024-06-20Asked by Logan Thomas (Solvelet student)

A fair six-sided die is rolled. What is the probability of rolling a prime number?

Solution

To find the probability of rolling a prime number on a fair six-sided die: 1. Determine the prime numbers on a six-sided die: 2, 3, and 5. 2. Calculate the total number of outcomes when rolling the die, which is 6. 3. Count the number of favorable outcomes (prime numbers), which is 3. 4. Use the formula for probability:

\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}.

5. Substitute the values:

\text{Probability} = \frac{3}{6} = \frac{1}{2}.

Therefore, the probability of rolling a prime number on a fair six-sided die is

\frac{1}{2}

. Solved on Solvelet with Basic AI Model

Some of the related questions asked by James Miller on Solvelet

1. Determine the probability of rolling a 6 on a fair six-sided die.2. Calculate the probability of drawing a red card from a standard deck of

52

playing cards.

DefinitionThe probability concepts represent the rules and the theorems that explain how certain we are about certain events happening. The basic principles are comprised of sample space, events, probability measures, conditional probability, and independence. For rolling a 3 on a fair six-sided die, e.g., the probability is 61,

Related Calculators

Functions of a Complex Variable Calculator Integrals of Rational Functions Calculator Least Common Multiple Calculator Field Theory Calculator

Need topic explanation ? Get video explanation