Question

What is the probability of rolling a four on the first die and a four on the second die?

Write your answer as a fraction or a whole number. With fractions, use a slash ( / ) to separate the numerator and denominator.

Answer 1

1

I think the answer is 4/4 = 1

Answer 2

The probability of rolling a four on the first die and a four on the second die is 1/36, calculated using the product rule of probability.

Step-by-step explanation:

The probability of rolling a four on the first die and a four on the second die can be calculated using the product rule of probability. Since each die is independent of the other, the probability of rolling a four on a single six-sided die is ⅔ (or 1 in 6) because there is one four and six possible outcomes. To find the probability of both events happening together (rolling a four on both dice), we multiply the probabilities of each event occurring independently:

(Probability of rolling a four on the first die) × (Probability of rolling a four on the second die) = ⅔ × ⅔ = ¼ × ¼ = 1/36.

So, the probability of rolling a four on both dice is 1/36, which is the simplified fraction form of the outcome.