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(a) Find the probabilities of the events below. Write each answer as a single fraction. P(A) =] P(B) = ] P(A or B) = ] P(A and B) = ] %3D P(A) + P(B) – P(A and B) = ] %3D Select the probability that is equal to P(A) +P(B) -P(A and B). OP(B) OP(A and B) OP(A or B) OP(A)

(a) Find the probabilities of the events below. Write each answer as a single fraction. P(A) =] P(B) = ] P(A or B) = ] P(A and B) = ] %3D P(A) + P(B) – P(A and B) = ] %3D Select the probability that is equal to P(A) +P(B) -P(A and B). OP(B) OP(A and B) OP(A or B) OP(A)

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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--- ### Probability Exercise #### (a) Find the probabilities of the events below. Write each answer as a single fraction. 1. \( P(A) = \square \) 2. \( P(B) = \square \) 3. \( P(A \text{ or } B) = \square \) 4. \( P(A \text{ and } B) = \square \) 5. \( P(A) + P(B) - P(A \text{ and } B) = \square \) #### (b) Select the probability that is equal to \( P(A) + P(B) - P(A \text{ and } B) \). - ○ \( P(B) \) - ○ \( P(A \text{ and } B) \) - ○ \( P(A \text{ or } B) \) - ○ \( P(A) \) ---
Transcribed Image Text:--- ### Probability Exercise #### (a) Find the probabilities of the events below. Write each answer as a single fraction. 1. \( P(A) = \square \) 2. \( P(B) = \square \) 3. \( P(A \text{ or } B) = \square \) 4. \( P(A \text{ and } B) = \square \) 5. \( P(A) + P(B) - P(A \text{ and } B) = \square \) #### (b) Select the probability that is equal to \( P(A) + P(B) - P(A \text{ and } B) \). - ○ \( P(B) \) - ○ \( P(A \text{ and } B) \) - ○ \( P(A \text{ or } B) \) - ○ \( P(A) \) ---
The Venn diagram illustrates the 12 students in Mr. Reed's class and their memberships in the Computer Club and the Math Club. ### Diagram Details: - **Computer Club Only:** Pablo, Jose, Isabel, Michael, Lena, Karen - **Math Club Only:** Ivanna, Salma, Milan - **Both Clubs:** Chang, Mai - **No Club:** Elsa (located outside the circles) ### Problem Statement: A student from the class is randomly selected. Define the following events: - Let \( A \) represent "the student is in the Computer Club." - Let \( B \) represent "the student is in the Math Club." ### Task: Part (a): Calculate the probabilities of the events below and provide each answer as a single fraction. - \( P(A) = \) - \( P(B) = \) This exercise requires students to understand and calculate probabilities based on the given memberships represented in a Venn diagram.
Transcribed Image Text:The Venn diagram illustrates the 12 students in Mr. Reed's class and their memberships in the Computer Club and the Math Club. ### Diagram Details: - **Computer Club Only:** Pablo, Jose, Isabel, Michael, Lena, Karen - **Math Club Only:** Ivanna, Salma, Milan - **Both Clubs:** Chang, Mai - **No Club:** Elsa (located outside the circles) ### Problem Statement: A student from the class is randomly selected. Define the following events: - Let \( A \) represent "the student is in the Computer Club." - Let \( B \) represent "the student is in the Math Club." ### Task: Part (a): Calculate the probabilities of the events below and provide each answer as a single fraction. - \( P(A) = \) - \( P(B) = \) This exercise requires students to understand and calculate probabilities based on the given memberships represented in a Venn diagram.
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