Geometry

Question Analysis  
This question involves calculating the probability of at least one of three independent events occurring.
The key is to use the complement rule: .  

Key Concept Explanation  
For independent events, the probability that none occur is the product of their non-occurrence probabilities:  

And , ,
Thus,  
 

Step-by-Step Solution  
1. Calculate the probabilities of each pair not producing offspring:  

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