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

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

Options:

Correct Answer: 1/3

Solution:

The numbers greater than 4 on a die are 5 and 6. There are 2 favorable outcomes out of 6 total outcomes. Therefore, P(number > 4) = 2/6 = 1/3.

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

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

Step 1: Understand that a die has 6 sides, numbered from 1 to 6.
Step 2: Identify the numbers on the die that are greater than 4. These numbers are 5 and 6.
Step 3: Count the total number of outcomes when rolling a die. There are 6 possible outcomes: 1, 2, 3, 4, 5, and 6.
Step 4: Count the favorable outcomes, which are the numbers greater than 4. There are 2 favorable outcomes: 5 and 6.
Step 5: Calculate the probability by dividing the number of favorable outcomes by the total number of outcomes. This gives us 2 (favorable outcomes) divided by 6 (total outcomes).
Step 6: Simplify the fraction 2/6 to get 1/3.

Probability – Understanding the likelihood of an event occurring, calculated as the ratio of favorable outcomes to total outcomes.
Favorable Outcomes – Identifying the specific outcomes that meet the criteria of the event being measured.
Total Outcomes – Recognizing the total number of possible outcomes in a given scenario, in this case, the faces of a die.