A single die is rolled one time. Find the probability of rolling a number greater than 4 or less than 3.
There are 6 possible outcomes when rolling a single die: 1, 2, 3, 4, 5, and 6.
We need to find the probability of rolling a number greater than 4 or less than 3.
The numbers greater than 4 are: 5 and 6.
The numbers less than 3 are: 1 and 2.
There are a total of 4 possible outcomes that satisfy the condition: 1, 2, 5, and 6.
Since there are 6 possible outcomes in total, the probability is:
4 / 6 = 2/3
Therefore, the probability of rolling a number greater than 4 or less than 3 is 2/3.
To find the probability of rolling a number greater than 4 or less than 3 with a single die, we can first determine the total number of possible outcomes and then calculate the number of favorable outcomes.
Step 1: Determine the total number of possible outcomes.
Since a die has 6 sides with numbers ranging from 1 to 6, the total number of possible outcomes when rolling a die is 6.
Step 2: Calculate the number of favorable outcomes.
To roll a number greater than 4, there are 2 possibilities: rolling a 5 or rolling a 6.
To roll a number less than 3, there are 2 possibilities: rolling a 1 or rolling a 2.
Hence, the number of favorable outcomes is 2 + 2 = 4.
Step 3: Calculate the probability.
The probability of an event occurring is given by the ratio of the number of favorable outcomes to the total number of possible outcomes.
Therefore, the probability of rolling a number greater than 4 or less than 3 is 4/6 or simplified as 2/3.
So, the probability of rolling a number greater than 4 or less than 3 is 2/3.
To find the probability of rolling a number greater than 4 or less than 3 on a single die, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes.
There are 6 sides on a standard die, labeled with the numbers 1, 2, 3, 4, 5, and 6. We need to count the number of sides that represent a number greater than 4 or less than 3.
The numbers greater than 4 are 5 and 6, and the numbers less than 3 are 1 and 2. Since these numbers do not overlap, we can simply count them to get the number of favorable outcomes.
Therefore, there are 4 favorable outcomes: 1, 2, 5, and 6.
Next, we need to determine the total number of possible outcomes. Since we are rolling a standard die, each of the 6 sides is equally likely to occur.
Therefore, there are 6 possible outcomes.
Now, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes:
Probability = (Number of favorable outcomes) / (Total number of possible outcomes)
= 4 / 6
= 2 / 3
So, the probability of rolling a number greater than 4 or less than 3 on a single die is 2/3.