To calculate the probability of rolling either a 5 or a 6 on a six-sided die, we first need to understand the total number of possible outcomes when rolling the die. A standard six-sided die has six faces, numbered from 1 to 6.
The total number of possible outcomes is 6. Now, we want to find the total number of favorable outcomes for rolling either a 5 or a 6. There are two favorable outcomes in this case: rolling a 5 and rolling a 6.
To find the probability, we use the formula:
Probability = (Number of favorable outcomes) / (Total number of possible outcomes)
Thus, we have:
Probability = 2 / 6
We can simplify this fraction:
Probability = 1 / 3
So, the probability of rolling either a 5 or a 6 on a six-sided die is 1/3. This means that if you roll the die multiple times, you can expect to roll either a 5 or a 6 about one-third of the time.