Mathegoras

Puzzles and logic › Processes, invariants and strategy › Board operations and invariants

Removing an element to raise probability

High school · ●●○○○ 20 pts

Two different numbers are randomly selected from the set S={1,2,3,4,5,6,7,8,9,10,11}S = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11\}. The probability that their sum is 12 would be greater if the number nn had first been removed from SS. What is the value of nn?

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probabilitycounting pairscombinationssample space