Final answer:
The probability of rolling a 4 on a six-sided die twice in a row is calculated by multiplying the probability of a single 4 roll (⅖) by itself, resulting in ⅖ or about 2.78%.
Step-by-step explanation:
The question concerns the probability of rolling a 4 on a six-sided die twice in a row. A six-sided die has an equal chance of landing on any of the numbers 1 through 6, so the probability of rolling a 4 on any single roll is ⅖ or about 16.67%. Since the two dice rolls are independent events, the probability of both events occurring is the product of their individual probabilities.
To calculate the probability of rolling a 4 both times, you would use the following equation:
- P(4 on first roll) = ⅖
- P(4 on second roll) = ⅖
- P(4 on both rolls) = P(4 on first roll) × P(4 on second roll) = ⅖ × ⅖ = ⅖² = ⅖
Thus, the probability of rolling a 4 on both rolls is ⅖ or approximately 2.78%.