Flowers in Bloom
A gardener is waiting for his two favorite flowers to bloom.
- The purple flower will blossom at some point, chosen uniformly at random within the next 30 days, and will remain in bloom for exactly 9 days.
- Independently of the purple flower, the red flower will blossom at some point, chosen uniformly at random within the next 30 days, and will remain in bloom for exactly 12 days. Compute the probability that both flowers will be in bloom simultaneously at some point in time.
Answer format: round to 3 decimal places.
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