Monday Morning Braintease: golf balls

You have 100 golf balls (50 yellow balls and 50 white balls) and 2 buckets. How do you divide the balls into the two buckets so as to maximize the probability of selecting a yellow ball if 1 ball is chosen from 1 of the buckets at random?

What is the percentage?

Clarification: the bucket is chosen at random, and then the ball is chosen at random.

 
BelleRose:
Could it be 1 Yellow ball in one basket by itself and the other 49 in the other bucket with 50 white balls?

Percentage would be 74.7%

this is correct

I eat success for breakfast...with skim milk
 

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