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Unformatted text preview: your answers change? Why or why not? 4. Suppose a particular website makes you have a password of 6 characters. Your characters can be a lowercase letter or a number. a. How many possible outcomes are there? b. If you choose a password at random (no restrictions on the password), what is the probability that it contains at least one 5? c. If you can also use capital letters, how many possible outcomes are there? 5. Suppose a lock has a number dial from 1 to 75 and your code must have only 3 digits. a. How many possible codes are there? b. If you cannot have the same number next to each other, how many codes are there? c. If you cannot repeat a number anywhere in the code, how many codes are there? d. Define PR to be the set {2,3,5,7,9} i.e. the prime numbers smaller than 10. What is the probability of at least one member of PR being selected if you choose a code at random?...
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 Spring '08
 MARTIN
 Probability

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