4. Probability
Independence — Quiz
Test your understanding of independence with 5 practice questions.
Practice Questions
Question 1
Which of the following conditions is sufficient to prove that two events, A and B, are independent?
Question 2
If events E and F are independent, and $P(E) = 0.2$ and $P(F) = 0.4$, what is the probability of E occurring given that F has occurred, i.e., $P(E|F)$?
Question 3
A student has a $70\%$ chance of passing a math exam and a $80\%$ chance of passing a science exam. If these events are independent, what is the probability that the student passes both exams?
Question 4
Consider a deck of 52 playing cards. A card is drawn, its suit is noted, and it is replaced. Then a second card is drawn. Let A be the event of drawing a heart on the first draw, and B be the event of drawing a club on the second draw. Are A and B independent events?
Question 5
If two events, X and Y, are independent, which of the following statements must be true?