To find the probability of rolling an odd number on the first roll of a six-sided cube and rolling an even number on the second roll, we can break this down into two parts:
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Rolling an odd number: On a six-sided die, the odd numbers are 1, 3, and 5. There are 3 odd numbers out of 6 possible outcomes. Therefore, the probability of rolling an odd number on the first roll is:
\[ P(\text{odd}) = \frac{3}{6} = \frac{1}{2} \]
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Rolling an even number: The even numbers on a six-sided die are 2, 4, and 6. Similar to the odd numbers, there are 3 even numbers out of 6 possible outcomes. Therefore, the probability of rolling an even number on the second roll is:
\[ P(\text{even}) = \frac{3}{6} = \frac{1}{2} \]
Now, because the rolls are independent events, we can multiply the probabilities of these two events together to find the combined probability:
\[ P(\text{odd first roll and even second roll}) = P(\text{odd}) \times P(\text{even}) = \frac{1}{2} \times \frac{1}{2} = \frac{1}{4} \]
Therefore, the answer is:
\[ \frac{1}{4} \]
So, the correct answer is "Start Fraction 1 over 4 End Fraction" or \( \frac{1}{4} \).