Activity 8: A Chance to Further Understand Probability

Answer the following questions with a thorough explanation

1. How does a simple event differ compound event?
2. Differentiate mutually exclusive events from non-mutually exclusive events.
3. Suppose there are three events A, B, and C that are not mutually exclusive. List all the probabilities you would need to consider in order to calculate P(A or B or C). Then, write the formula you would use to calculate the probability.
4. Explain why subtraction is used when finding the probability of two events that are not mutually exclusive.

• What new realizations do you have about the probability of compound events?
• How would you connect this topic to other concepts that you have previously learned?
• How would you use this in real life?

Activity 9: Where in the real world?

Answer the following questions with a very thorough explanation

1. Describe a situation in one's life that involves events that are mutually exclusive or not mutually exclusive. Explain why the events are mutually exclusive or not mutually exclusive.
2. Think about daily experience. How is probability utilized in newspapers? television shows? and radio programs that interest you? What are your general impressions of the ways in which probability is used in the print media and entertainment industry?

For References:

Activity 8: A Chance to Further Understand Probability Answer the following questions 1. How does a simple event differ from a compound event? 2. Differentiate mutually exclusive events from non-mutually exclusive events. 3. Suppose there are three events A, B, and C that are not mutually exclusive. List all the probabilities you would need to consider in order to calculate P(A or B or C). Then, write the formula you would use to calculate the probability. 4. Explain why subtraction is used when finding the probability of two events that are not mutually exclusive. What new realizations do you have about probability of compound events? How would you connect this topic to other concepts that you have previously learned? How would you use this in real life?SUMMARY/SYNTHESIS/GENERALIZATION In this lesson, you learned that an event is any collection of outcomes of an experiment. Typically, when the sample space is finite, any subset of the sample space is an event. Any event which consists of a single outcome in the sample space is called an elementary or simple event. Events which consist of more than one outcome are called compound events. You also learned that to each event, a probability is assigned. The probability of a compound event can be calculated if its outcomes are equally likely. Events can be mutually exclusive or not mutually exclusive. If two events, A and B, are mutually exclusive, then the probability that either A or B occurs is the sum of their probabilities. In symbols, P(A or B) = P(A) + P(B). On the other hand, if two events, A and B, are not mutually exclusive, then the probability that either A or B occurs is the sum of their probabilities decreased by the probability of both of them occurring. In symbols, P (A or B) = P (A) + P (B) - P (A and B).Activity 9: Where in the real world? Answer the following questions. Write a report of your answers using a minimum of 120 words. Be ready to present your answers in the class. 1. Describe a situation in your life that involves events which are mutually exclusive or not mutually exclusive. Explain why the events are mutually exclusive or not mutually exclusive. 2. Think about your daily experience. How is probability utilized in newspapers, television shows, and radio programs that interest you? What are your general impressions of the ways in which probability is used in the print media and entertainment industry