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Default Statistics / Probability

I am trying to create a model in Excel to spit out a number based on a computing probabilities associated with outcomes. An example would be best:

Numbers Probability of occurring
1-10 5%
11-20 10%
21-60 65%
61-85 15%
86-100 5%

So, based on above, numbers from 21 to 60 have the highest probability of occurring in a large trial run. What I'd want to do is have a column with 10,000 cells going down, each spitting out any of the numbers above based on probability of occurring and then take an average of the 10,000 cells. Is there a Random function which would generate a number based on the likelihood of it occurring as per above table?

Thanks!
 
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