you roll a 6 - sided die two times. what is the probability of rolling an odd number and then rolling an odd…

Explanation:

Step1: Determine probability of first - roll odd

On a 6 - sided die, odd numbers are 1, 3, 5. So the probability of rolling an odd number on the first roll is $\frac{3}{6}=\frac{1}{2}$.

Step2: Determine probability of second - roll odd

Since the rolls are independent events, the probability of rolling an odd number on the second roll is also $\frac{3}{6}=\frac{1}{2}$.

Step3: Calculate joint probability

For independent events A and B, $P(A\cap B)=P(A)\times P(B)$. Here, $P = \frac{1}{2}\times\frac{1}{2}=\frac{1}{4}$.

Step4: Convert to percentage

To convert $\frac{1}{4}$ to a percentage, we calculate $\frac{1}{4}\times100% = 25%$.

Answer:

25%