what is the probability of rolling odd numbers on both dice? write your answer as a fraction or a whole…

Explanation:

Step1: Determine odd - number possibilities on one die

A standard die has 6 faces numbered from 1 to 6. The odd - numbered faces are 1, 3, and 5. So the probability of rolling an odd number on one die is $\frac{3}{6}=\frac{1}{2}$.

Step2: Use the multiplication rule for independent events

Since the rolls of the two dice are independent events, the probability of two independent events A and B both occurring is $P(A\cap B)=P(A)\times P(B)$. Here, event A is rolling an odd number on the first die and event B is rolling an odd number on the second die. So the probability of rolling odd numbers on both dice is $\frac{1}{2}\times\frac{1}{2}$. $\frac{1}{2}\times\frac{1}{2}=\frac{1}{4}$

Answer:

$\frac{1}{4}$