How to Calculate Probability with Two Six-Sided Dice

To calculate the probability of rolling a 1 with the first die and a 5 with the second die, you need to determine the individual probabilities for each die and then multiply them together. For a six-sided die, there is one favorable outcome (rolling a specific number) out of six possible outcomes (rolling a 1, 2, 3, 4, 5, or 6). So the probability of rolling a specific number (in this case a 1 or a 5) is 1/6. Now, let's look at the two dice: - The probability of rolling a 1 with the first die is 1/6. - The probability of rolling a 5 with the second die is 1/6. Since these two events are independent (rolling one die does not affect the outcome of the other), multiply the probabilities together: (1/6) * (1/6) = 1/36 So the probability of rolling a 1 with the first die and a 5 with the second die is 1/36, or approximately 2.78%.