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Let a Be the Set of All Strings of Decimal

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Let A be the set of all strings of decimal digits of length 5. For example, 00312 and 19483 are two strings in A. You pick a string from A at random. What is the probability that (a) the string begins with 7575. (b) the string has no 4 in it.


Definitions:

Interest Rate

The amount charged by a lender to a borrower for the use of assets, expressed as a percentage of the principal.

ROA

Return on Assets, a financial ratio that shows the percentage of profit a company earns in relation to its overall resources.

ROE

Return On Equity; a measure of a corporation's profitability that reveals how much profit a company generates with the money shareholders have invested.

Operating ROA

A financial ratio that measures the efficiency of a company's operation by dividing its operating income by its total assets.

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