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

Explanation:

Step1: Find probability of rolling odd

On a 6 - sided die, odd numbers are 1, 3, 5. So probability of rolling an odd number $P(O)=\frac{3}{6}=\frac{1}{2}$.

Step2: Find probability of rolling even

On a 6 - sided die, even numbers are 2, 4, 6. So probability of rolling an even number $P(E)=\frac{3}{6}=\frac{1}{2}$.

Step3: Use multiplication rule for independent events

Since the two die - rolls are independent events, the probability of rolling an odd number and then an even number is $P = P(O)\times P(E)$. Substituting the values, we get $P=\frac{1}{2}\times\frac{1}{2}=\frac{1}{4}$.

Step4: Convert to percentage

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

Answer:

25%