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10 cards from this deck
When sample space is very large
P(E)=n(E)n(S)P(E) = \frac{n(E)}{n(S)}P(E)=n(S)n(E)
Total number of arrangements of event E
Total number of arrangements of sample space S
P(B)=1−P(not B)P(B) = 1 - P(\text{not B})P(B)=1−P(not B)
Same number of choices available each time
Number of choices decreases each time
104=10,00010^4 = 10,000104=10,000
10×9×8×7=5,04010 \times 9 \times 8 \times 7 = 5,04010×9×8×7=5,040
Use complement: calculate 'none' and subtract from 1
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