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Activity 1: Remember Me Consider the situation below. Use your knowledge on probability in answering the questions that follow. The Venn diagram below shows the probabilities of grade 10 students of San Andres NHS - Cabadiangan Annex joining either basketball (B) or volleyball (V) during district triangular meet 2019. 0.3 0.2 0.4 0.1 Use the Venn diagram to find the probabilities. P(B) P(V) P(Bn ) P(BU) P( Bor) а. b. с. d. е. 7

Activity 1: Remember Me Consider the situation below. Use your knowledge on probability in answering the questions that follow. The Venn diagram below shows the probabilities of grade 10 students of San Andres NHS - Cabadiangan Annex joining either basketball (B) or volleyball (V) during district triangular meet 2019. 0.3 0.2 0.4 0.1 Use the Venn diagram to find the probabilities. P(B) P(V) P(Bn ) P(BU) P( Bor) а. b. с. d. е. 7

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Lesson Probability of Union 1 of Two or More Events To start this module, you really need to recall the different mathematics concepts related to sets, probability of simple events, as well as using Venn diagram in illustrating the concepts of intersection and union of events you previously studied. Your knowledge and skills on it are important in finding the probability of a union of events. As you go through this lesson, think of this question, Why do you think is the study of probability important in making decisions in real life? What's In Activity 1: Remember Me Consider the situation below. Use your knowledge on probability in answering the questions that follow. > The Venn diagram below shows the probabilities of grade 10 students of San Andres NHS - Cabadiangan Annex joining either basketball (B) or volleyball (V) during district triangular meet 2019. B 0.3 0.2 0.4 0.1 Use the Venn diagram to find the probabilities. P(B) P(V) P(Bn V) a. b. с. d. P(BUV е. P( Bn V) 7
Transcribed Image Text:Lesson Probability of Union 1 of Two or More Events To start this module, you really need to recall the different mathematics concepts related to sets, probability of simple events, as well as using Venn diagram in illustrating the concepts of intersection and union of events you previously studied. Your knowledge and skills on it are important in finding the probability of a union of events. As you go through this lesson, think of this question, Why do you think is the study of probability important in making decisions in real life? What's In Activity 1: Remember Me Consider the situation below. Use your knowledge on probability in answering the questions that follow. > The Venn diagram below shows the probabilities of grade 10 students of San Andres NHS - Cabadiangan Annex joining either basketball (B) or volleyball (V) during district triangular meet 2019. B 0.3 0.2 0.4 0.1 Use the Venn diagram to find the probabilities. P(B) P(V) P(Bn V) a. b. с. d. P(BUV е. P( Bn V) 7
What's New In activity 1, learners explore the use of a Venn diagram to determine the probabilities of individual events, the intersection of events, union of events and the complement of an event. To understand the given problem in activity 1, read the discussion of the solution. Actually, the diagram does not show or represent the entire sample space for B and V. What is shown are the probabilities. To find the P(B), we will add the probability that only B occurs to the probability that B and V occur to get 0.2 + 0.3 = 0.5. So, P(B) = 0.5. а. b. Similarly, P(V) 0.4 + 0.3 0.7 %3D Now, P(B ) is the value 0.3 in the overlapping region с. To find the P(BU) = we will get the sum of P(B) + P(Bn + P(V) to get 0.2 + 0.3 + 0.4 0.9. So, P(BUV) = 0.9 d. > %3D For the P(B n "), we will get the difference between 1 and P(B U V). P(B'OV)is 1-0.9 = 0.1 е. So, Complement of an Event The complement of an event is the set of all outcomes that are NOT in the event. This means that if the probability of an event, A, is P(A), then the probability that the event would not occur (also called the complementary event) is 1 - P(A), denoted by P(A' ). Thus, P(A' ) = 1- P(A). So the complement of an event E is the set of all the outcomes which are not in E. And together the event and its complement make all possible outcomes. Consider item e on this page. P( B' n V' ) can be determined by finding the part of the diagram where everything outside of B overlaps with everything outside of V. It is the region outside of both circles and that probability is 0.1. Another way to think of this is P(B U 1 - P(B U V). or 8
Transcribed Image Text:What's New In activity 1, learners explore the use of a Venn diagram to determine the probabilities of individual events, the intersection of events, union of events and the complement of an event. To understand the given problem in activity 1, read the discussion of the solution. Actually, the diagram does not show or represent the entire sample space for B and V. What is shown are the probabilities. To find the P(B), we will add the probability that only B occurs to the probability that B and V occur to get 0.2 + 0.3 = 0.5. So, P(B) = 0.5. а. b. Similarly, P(V) 0.4 + 0.3 0.7 %3D Now, P(B ) is the value 0.3 in the overlapping region с. To find the P(BU) = we will get the sum of P(B) + P(Bn + P(V) to get 0.2 + 0.3 + 0.4 0.9. So, P(BUV) = 0.9 d. > %3D For the P(B n "), we will get the difference between 1 and P(B U V). P(B'OV)is 1-0.9 = 0.1 е. So, Complement of an Event The complement of an event is the set of all outcomes that are NOT in the event. This means that if the probability of an event, A, is P(A), then the probability that the event would not occur (also called the complementary event) is 1 - P(A), denoted by P(A' ). Thus, P(A' ) = 1- P(A). So the complement of an event E is the set of all the outcomes which are not in E. And together the event and its complement make all possible outcomes. Consider item e on this page. P( B' n V' ) can be determined by finding the part of the diagram where everything outside of B overlaps with everything outside of V. It is the region outside of both circles and that probability is 0.1. Another way to think of this is P(B U 1 - P(B U V). or 8
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