2. Conditional Probability
Law Of Total Prob — Quiz
Test your understanding of law of total prob with 5 practice questions.
Practice Questions
Question 1
A company has two call centers: Call Center 1 and Call Center 2. Call Center 1 handles 60% of the total calls, and Call Center 2 handles 40%. The probability that a call is resolved in Call Center 1 is 0.85, and the probability that a call is resolved in Call Center 2 is 0.75. What is the probability that a randomly chosen call is resolved?
Question 2
A school cafeteria serves two types of meals: Regular meals and Vegetarian meals. The probability that a student chooses a Regular meal is 0.7, and the probability that a student chooses a Vegetarian meal is 0.3. The probability that a student is satisfied with a Regular meal is 0.8, and the probability that a student is satisfied with a Vegetarian meal is 0.9. What is the probability that a randomly chosen student is satisfied with their meal?
Question 3
A machine produces two types of bolts: Type X and Type Y. The probability that a bolt is Type X is 0.55, and the probability that a bolt is Type Y is 0.45. The probability that a Type X bolt is defective is 0.02, and the probability that a Type Y bolt is defective is 0.03. What is the probability that a randomly selected bolt is defective?
Question 4
A software company offers two types of subscriptions: Basic and Premium. 65% of the customers choose the Basic subscription, and 35% choose the Premium subscription. The probability that a Basic subscriber renews their subscription is 0.6, and the probability that a Premium subscriber renews is 0.85. What is the probability that a randomly chosen customer renews their subscription?
Question 5
A company manufactures two types of widgets: Widget A and Widget B. 50% of the widgets are Widget A, and 50% are Widget B. The probability that a Widget A is sold within a week is 0.7, and the probability that a Widget B is sold within a week is 0.8. What is the probability that a randomly chosen widget is sold within a week?