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What is the chance the 2 cards drawn from a stack of cards numbered 1 through 10 will have a sum of 9?
Wiki User
∙ 14y ago
There are two possible results:
If there are only 10 cards in the stack
Out of the possible outcomes of drawing two cards, 4 outcomes have a sum of 9.(1+8, 2+7, 3+6, 4+5)
The total number of potential combinations are 10 potential choices for the first card and 9 for the second or 10x9=90
The odds of drawing the desired total (9) is 4/90 or 1 in 22.5
If there are more than 10 cards in the pile (several runs of 1-->10).
There are still a limited number of 2 card combinations that sum to 9:
1+8, 2+7, 3+6, 4+5
The number of combinations of cards that can be drawn are 10 potential choices for the first card and 10 for the second or 10x10=100.
The odds of drawing the desired total (9) is 4/100 or 1 in 25
Wiki User
∙ 14y ago
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