Mutually Exclusive Events and Probability

The video tutorial explains the Addition Rule for calculating probabilities in scenarios involving mutually and non-mutually exclusive events. It provides examples using candy selection and entertainment preferences, demonstrating how to apply the appropriate formula for each type of event. The tutorial covers the probability of selecting a caramel or mint candy and the probability of being entertained by books or movies, using the respective formulas for mutually and non-mutually exclusive events.

What is the Addition Rule used for in probability?

• To find the probability of neither of two events happening.

• To find the probability of either of two events happening.

• To find the probability of one event happening after another.

• To find the probability of two events happening simultaneously.

In the candy scenario, what percentage of candies are mints?

• 24%

• 10%

• 52%

• 14%

What is the probability of selecting a caramel or a mint from the candy box?

• 0.52

• 0.34

• 0.10

• 0.24

In the survey scenario, what percentage of people are entertained by both books and movies?

• 47%

• 18%

• 37%

• 28%

Which formula is used for mutually exclusive events in the Addition Rule?

• Probability of A times probability of B

• Probability of A plus probability of B

• Probability of A minus probability of B

• Probability of A plus probability of B minus probability of A and B

What defines mutually exclusive events?

• Events that can happen at the same time

• Events that cannot happen at the same time

• Events that are dependent on each other

• Events that are independent of each other

Which formula is used for non-mutually exclusive events in the Addition Rule?

• Probability of A times probability of B

• Probability of A minus probability of B

• Probability of A plus probability of B minus probability of A and B

• Probability of A plus probability of B

What is the probability of getting a caramel or mint in the candy scenario?

• 0.10

• 0.24

• 0.34

• 0.52

In the candy scenario, why do we use the first formula of the Addition Rule?

• Because the events are independent

• Because the events are non-mutually exclusive

• Because the events are mutually exclusive

• Because the events are dependent

In the survey scenario, what is the probability of being entertained by books or movies?

• 0.47

• 0.18

• 0.37

• 0.28