what is the probability of rolling a six on the first die and a one on the second die? write your answer as…
what is the probability of rolling a six on the first die and a one 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
Explanation:
Step1: Probability of rolling a six on first die
A die has 6 faces. The probability of rolling a six on the first die is $\frac{1}{6}$ since there is 1 six - faced outcome out of 6 possible outcomes.
Step2: Probability of rolling a one on second die
Similarly, the probability of rolling a one on the second die is $\frac{1}{6}$ as there is 1 one - faced outcome out of 6 possible outcomes.
Step3: Use multiplication rule for independent events
Since the rolls of the two dice are independent events, the probability of both events occurring is the product of their individual probabilities. So $P=\frac{1}{6}\times\frac{1}{6}=\frac{1}{36}$.
Answer:
$\frac{1}{36}$