Random Integer Counting
Probability
Level
pending
Suppose you have integers 1...100. What would be the minimum amount of numbers you would need to pick if you want at least 7 of them to be odd, and you are picking at random?
The answer is 57.
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1 solution
To solve this problem you need to work from the worst case scenario. We know that there are 50 odd integers and also 50 even integers in the set. Worst case scenario is that you pick, at random, all 50 even integers consecutively. Well, in that case, you need only to pick at least 7 more integers to satisfy the problem.