Math Problem Statement

A standard six-sided die is rolled.

What is the probability of rolling a number equal to 4 ? Express your answer as a simplified fraction or a decimal rounded to four decimal places.

Solution

A standard six-sided die has the numbers 1 through 6, so there are 6 possible outcomes when you roll the die.

The number 4 is just one of these outcomes. Therefore, the probability of rolling a 4 is:

16\frac{1}{6}

Expressing this as a decimal:

160.1667\frac{1}{6} \approx 0.1667

So, the probability of rolling a number equal to 4 is 16\frac{1}{6} or approximately 0.1667.

Do you want further details or have any questions?

Here are 5 related questions:

  1. What is the probability of rolling an odd number on a six-sided die?
  2. What is the probability of rolling a number greater than 3?
  3. If two six-sided dice are rolled, what is the probability of getting a sum of 7?
  4. What is the probability of rolling a prime number on a six-sided die?
  5. What is the probability of not rolling a 4?

Tip: For probability problems, always ensure the total number of possible outcomes is accurately identified to avoid errors.

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Math Problem Analysis

Mathematical Concepts

Probability
Combinatorics

Formulas

Probability = (Favorable outcomes) / (Total possible outcomes)

Theorems

Basic Probability Theorem

Suitable Grade Level

Grades 6-8