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Dec.1,2009
There are 100 jelly beans in total. How many jelly beans do you have to choose from the jar?
You have a jar of jelly beans. There are 100 jelly beans in total, 10 of each of the following flavors, 10 banana, 10 strawberry, 10 apple, 10 grape, 10 cherry, 10 watermelon, 10 vanilla, 10 blueberry, 10 lime, 10 mango. How many jelly beans do you have to choose from the jar (without looking) to ENSURE that you have at LEAST 2 watermelon jelly beans?
Well, worst case scenario is that you choose ALL of the beans of every other flavor before ever getting even 1 watermelon.
So you might pick 10 banana, 10 strawberry, 10 apple… and so on. After picking all 90 of these, you then choose 1 watermelon, followed by a second watermelon.
So at the very very worst, you might pick 92 jelly beans before getting 2 watermelon. Remember, it is unlikely to take that long, but you will be guaranteed two watermelons if you choose 92 beans.
On the other hand, if you just wanted 2 of any flavor, you might pick 1 of each of the 10 flavors, and then no matter what, your 11th will be a repeat. Much quicker!
Bashar – Infinite Number of Parallel Earths to Choose From
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