3.2 Combinations and Probability of Independent Events (with Replacement) A password requires exactly 5 characters. The first 3 characters must contain digits (0 to 9). The next 2 characters must contain letters only. The letters are case sensitive, so they may be lower or upper case. a. How many possible combinations exist? (Enter in your answer as a standard form number. You may need to convert from scientific notation.) b. If you randomly choose password patterns, what is the probability that you will get the right combination on the first try? (Enter as a fraction)

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3.2 Combinations and Probability of Independent Events (with Replacement)
A password requires exactly 5 characters. The first 3 characters must contain digits (0 to 9). The next 2
characters must contain letters only. The letters are case sensitive, so they may be lower or upper case.
a. How many possible combinations exist?
(Enter in your answer as a standard form number. You may need to convert from scientific notation.)
b. If you randomly choose password patterns, what is the probability that you will get the right
combination on the first try?
(Enter as a fraction)
Transcribed Image Text:3.2 Combinations and Probability of Independent Events (with Replacement) A password requires exactly 5 characters. The first 3 characters must contain digits (0 to 9). The next 2 characters must contain letters only. The letters are case sensitive, so they may be lower or upper case. a. How many possible combinations exist? (Enter in your answer as a standard form number. You may need to convert from scientific notation.) b. If you randomly choose password patterns, what is the probability that you will get the right combination on the first try? (Enter as a fraction)
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