The odd numbers between 1 and 100 are:
1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 65 67 69 71 73 75 77 79 81 83 85 87 89 91 93 95 97 99
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The sum of all the odd numbers from 1 through 100 is 10,000
The sum of the first 100 odd numbers (1 through 199) is 10000 (ten thou)
Thereare 50 odd numbers and 50 even numbers in that range, so the probability is 1 out of 2
100
201