Conditional Probability Concepts and Applications

What does the multiplication rule in conditional probability help us determine?

• The likelihood of an event not occurring

• The probability of two independent events occurring together

• The sum of probabilities of two events

• The difference between dependent and independent events

What percentage of rechargeable batteries are defective according to the factory's quality control?

• 1%

• 2%

• 0.5%

• 5%

If a battery is regular, what is the probability that it is not defective?

• 98%

• 75%

• 2%

• 25%

What is the probability of selecting a regular battery that is defective?

• 2%

• 0.75%

• 1%

• 1.5%

What is the probability of a rechargeable battery being defective?

• 1%

• 2%

• 0.5%

• 5%

What is the combined probability of pulling a defective battery from the shipment, either regular or rechargeable?

• 2.5%

• 1.75%

• 1.5%

• 2%

What does the addition rule in probability theory help us determine?

• The probability of events that are not exclusive

• The total probability of mutually exclusive events

• The average probability of all events

• The maximum probability achievable

How does the tree diagram help in understanding the battery example?

• It lists the names of all employees in the factory

• It visually represents the probabilities and outcomes

• It calculates the exact percentages of defects

• It shows the chemical composition of the batteries

What is the purpose of using a tree diagram in probability calculations?

• To provide a visual aid for understanding complex probabilities

• To increase the numerical value of probabilities

• To replace traditional methods of teaching probability

• To confuse the learners with complex diagrams

What should students do after watching the video and attempting the problems?

• Submit their answers for review and clarification of mistakes

• Ignore any errors in their calculations

• Memorize the probabilities without understanding

• Wait for the next video without practicing