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3. Programs submitted by programs in a computer science course are examined for syntax errors and...

3. Programs submitted by programs in a computer science course are examined for syntax errors and logic errors. Suppose 44% of all programs have syntax errors, 59% have logic errors, and 78% have at least one of those two error types. (a) What is the probability a program contains both error types?

(b) What is the probability a program contains neither error type?

(c) What is the probability a program has logic errors, but not syntax errors?

(d) What is the probability a program either has no syntax errors or has no logic errors?

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