6. Probability and Statistics
Probability Foundations — Quiz
Test your understanding of probability foundations with 5 practice questions.
Practice Questions
Question 1
A fair coin is tossed 6 times. What is the probability of getting exactly 4 heads?
Question 2
A company produces light bulbs, and it is known that 3% of the bulbs are defective. A quality control test correctly identifies a defective bulb 98% of the time and incorrectly identifies a non-defective bulb as defective 5% of the time. If a bulb is identified as defective by the test, what is the probability that it is actually defective?
Question 3
How many distinct arrangements can be made from the letters of the word 'MATHEMATICS'?
Question 4
A box contains 6 red and 4 blue marbles. If two marbles are drawn randomly without replacement, what is the probability that both marbles are blue?
Question 5
In a group of 80 students, 50 are enrolled in Calculus, 40 are enrolled in Linear Algebra, and 20 are enrolled in both. What is the probability that a randomly selected student is enrolled in neither Calculus nor Linear Algebra?