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Sam writes down the numbers 1, 2, 3, ..., 99

 

(a) How many digits did Sam write, in total?

(b) Sam chooses one of the digits written down, at random. What is the probability that Sam chooses a 0?

(c) What is the sum of all the digits that Sam wrote down?

 Mar 21, 2023
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a) 99 numbers

b) 9/99 or 1/11: only 9 numbers have 0's

c) 1+99 = 100 2+ 98 =100... 49 times then + 50, the number in the middle, 4950.

 Mar 21, 2023

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