4. Statistics

Probability Theory — Quiz

Test your understanding of probability theory with 5 practice questions.

Practice Questions

Question 1

Which of the following statements correctly defines the concept of statistical independence between two events $A$ and $B$?

Question 2

A factory produces items, and it is known that $5\%$ of the items are defective. A quality control test correctly identifies a defective item $90\%$ of the time, and incorrectly identifies a non-defective item as defective $10\%$ of the time. If an item tests positive for being defective, what is the probability that it is actually defective?

Question 3

In how many distinct ways can the letters of the word 'MISSISSIPPI' be arranged?

Question 4

Which of the following is a fundamental axiom of probability?

Question 5

A box contains 6 red pens and 4 blue pens. If two pens are drawn at random without replacement, what is the probability that both pens are blue?