USTH Probability and Machine Learning Flashcard

Front

What is the probability of drawing a king from a standard deck of cards?

Back

1/52

Front

In probability theory, what does conditional independence between events A and B given C mean?

Back

P(A ∩ B|C) = P(A|C) × P(B|C)

Front

What is Bayes' theorem?

Back

P(A|B) = P(B|A) × P(A) / P(B)

Front

What does the chain rule of probability state?

Back

P(A,B,C) = P(A) × P(B|A) × P(C|A,B)

Front

In the context of probability theory, what does MLE stand for?

Back

Maximum Likelihood Estimation

Front

What does the regex pattern "^[a-z]+$" match?

Back

One or more lowercase letters from start to end of a string

Front

Which regex pattern would correctly match an email address in the format "[e-mail]"? Options: ^[a-zA-Z0-9]+@[a-zA-Z0-9]+\.[a-zA-Z]{2,}$, \w+@\w+\.\w+, ^[\w.]+@[\w.]+\.[a-zA-Z]{2,}$, [a-z]+@[a-z]+\.[a-z]+

Back

^[\w.]+@[\w.]+\.[a-zA-Z]{2,}$

Front

What does the regex pattern "\b\w{3}\b" match?

Back

Any three-letter word

Front

Which regex metacharacter is used to match the beginning of a line?

Back

^

Front

In regex, what does the "?" quantifier mean?

Back

Zero or one occurrence of the preceding element