A fair five-sided spinner has sides numbered 1, 2, 3, 4, 5. Raj spins the spinner and throws two fair dice. He calculates his score as follows.
- If the spinner lands on an even-numbered side, Raj multiplies the two numbers showing on the dice to get his score.
- If the spinner lands on an odd-numbered side, Raj adds the numbers showing on the dice to get his score.
Given that Raj’s score is 12, find the probability that the spinner landed on an even-numbered side.
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