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Do you mean the probability of spelling “working” with 26 alphabetic tiles?

If so, then the probability of picking W first is 1/26. That leaves 25 tiles, so the probability of picking O next is 1/25, then R is 1/24 and so on.

Total probability of spelling WORKING is the product of all individual probabilities:

(1/26)(1/25)(1/24)(1/23)...(1/20)=1/3315312000=0.0000000003 approx.

The probability of spelling any particular 7-letter word is the same.

The probability of picking the letters of WORKING in any order is larger: (1×2×3×4×5×6×7)/(26×25×24×23×22×21×20)=1/657800=0.00000152 approx.

 

ago by Top Rated User (613k points)

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