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## Sample Document Text

1
Counting Elements in a List
. How many integers in the list from 1 to 10?
. How many integers in the list from m to n?
(assuming m <= n)
How many in a list divisible by something:
. How many positive three digit integers are there?
- (this means only the ones that require 3 digits)
- 999 - 100 + 1 = 900
. How many three digit integers are divisible by 5?
- think about the definition of divisible by
x | y « $ k ?Z, y = kx and then count the k's that work
100, 101, 102, 103, 104, 105, 106,. 994, 995, 996, 997, 998, 999
20*5 21*5 . 199*5
- count the integers between 20 and 199
- 199 - 20 + 1 = 180
2
Probability
likelihood of a specific event
. Sample Space = set of all possible outcomes
. Event = subset of sample space
. Equal Probability Formula:
- Given a finite sample space S where all outcomes are
equally likely
- Select an event E from the sample space S
- The probability of event E from sample space S:
)(
)()(
Sn
EnEP =
Flipping Two ...

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