If a fair six-sided die is rolled, what is the probability of rolling a number g

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Question: If a fair six-sided die is rolled, what is the probability of rolling a number greater than 4?

Options:

Correct Answer: 1/3

Solution:

Numbers greater than 4 are 5 and 6. Probability = 2/6 = 1/3.

If a fair six-sided die is rolled, what is the probability of rolling a number greater than 4?

If a fair six-sided die is rolled, what is the probability of rolling a number greater than 4?

Step 1: Understand that a fair six-sided die has the numbers 1, 2, 3, 4, 5, and 6.
Step 2: Identify the numbers that are greater than 4. These numbers are 5 and 6.
Step 3: Count how many numbers are greater than 4. There are 2 numbers (5 and 6).
Step 4: Count the total number of possible outcomes when rolling the die. There are 6 possible outcomes (1, 2, 3, 4, 5, 6).
Step 5: Calculate the probability of rolling a number greater than 4 by dividing the number of favorable outcomes (2) by the total number of outcomes (6).
Step 6: Simplify the fraction 2/6 to get 1/3.

Probability Calculation – Understanding how to calculate the probability of an event occurring based on the total number of possible outcomes.
Event Definition – Identifying the specific outcomes that constitute the event of interest (rolling a number greater than 4).