what is the probability of rolling a four on the first die and an odd number on the second die? write your…

Explanation:

Step1: Probability of rolling 4 on first die

A die has 6 faces. The probability of rolling a 4 on the first die is $\frac{1}{6}$ since there is 1 favorable outcome (rolling a 4) out of 6 possible outcomes.

Step2: Probability of rolling odd on second die

The odd - numbered faces on a die are 1, 3, 5. So there are 3 favorable outcomes out of 6 possible outcomes. The probability of rolling an odd number on the second die is $\frac{3}{6}=\frac{1}{2}$.

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 $P=\frac{1}{6}\times\frac{1}{2}$. $P = \frac{1\times1}{6\times2}=\frac{1}{12}$

Answer:

$\frac{1}{12}$