To find out how many points Gavin expected his favorite player to score, we first need to determine what 50% more than 20 points is.
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Calculate 50% of 20 points: \[ 50% \text{ of } 20 = 0.5 \times 20 = 10 \]
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Add this amount to the original 20 points to find the expected score: \[ 20 + 10 = 30 \]
Therefore, Gavin expected his favorite player to score \( \boxed{30} \) points.