Rolling a six-sided die is a common probability problem. To understand the probability of rolling a number less than 5, we first need to define the possible outcomes when the die is rolled.
A standard six-sided die has the numbers 1, 2, 3, 4, 5, and 6 on its faces. Therefore, the possible outcomes are:
- 1
- 2
- 3
- 4
- 5
- 6
Now, let’s identify which of these outcomes are less than 5. The numbers less than 5 are:
- 1
- 2
- 3
- 4
In total, there are 4 favorable outcomes: 1, 2, 3, and 4.
To calculate the probability, we use the formula:
Probability = (Number of favorable outcomes) / (Total number of outcomes)
In this case:
Number of favorable outcomes = 4
Total number of outcomes = 6
Putting this into the formula gives us:
Probability = 4 / 6 = 2 / 3
Thus, the probability of rolling a number less than 5 on a six-sided die is 2/3 or approximately 0.67, which is about 67%. This means that if you roll the die, there’s a good chance—around 67%—that you’ll land on a number that is less than 5!