Consider the experiment of rolling a single die. Find the probability of the event described.
What is the probability of rolling a number less than or equal to 4?
Isn't that 4 out of 6?
To find the probability of rolling a number less than or equal to 4 when rolling a single die, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes.
Step 1: Determine the favorable outcomes.
In this case, the favorable outcomes are rolling a number less than or equal to 4. So, we need to count the numbers 1, 2, 3, and 4.
Step 2: Determine the total number of possible outcomes.
When rolling a single die, there are six possible outcomes, which are the numbers 1, 2, 3, 4, 5, and 6.
Step 3: Calculate the probability.
The probability of an event is given by the ratio of the number of favorable outcomes to the total number of possible outcomes.
In this case, the number of favorable outcomes is 4 (as we counted the numbers 1, 2, 3, and 4), and the total number of possible outcomes is 6. So, the probability of rolling a number less than or equal to 4 is:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 4 / 6
Simplifying the fraction, we get:
Probability = 2 / 3
Therefore, the probability of rolling a number less than or equal to 4 when rolling a single die is 2/3 or approximately 0.667.