Explanation The addition rule for probabilities constitutes of two different formulas, One when the events are mutually exclusive and the other when the two events are non-mutually exclusive events. Thus, first formula is simply the sum of the probabilities of the two events as the intersection of the two events is zero. The second formula is the sum of the probabilities of the two events minus the probability of their intersection. Mathematically, the probability of two mutually exclusive events A and B is given by: Pr ( A ∪ B ) = Pr ( A ) + Pr ( B ) For example, a single 6-sided die is rolled, the probability of rolling a 2 or a 5, Pr ( A ) = The probability of rolling a 2 = 1 6 Probability of getting a 5. Pr ( B ) = The probability of rolling a 5 = 1 6 Probability for 2 or 5. Pr ( 2 or 5 ) = Pr ( A ) + Pr ( B ) = 1 6 + 1 6 = 2 6 = 1 3 Thus, the probability of rolling a 2 or a 5 is 1 3 . Mathematically, the probability of two non-mutually exclusive events A and B is given by: For example, Motors Inc. manufactured 325 cars with navigation system, 216 with push-button start, and 89 with both of these options. Let A = { cars with a navigation system } and B = { cars with push-button start }

12th Edition

ISBN: 9780134464053

Author: HAIR

Publisher: YUZU

See similar textbooks

Concept explainers

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topic…

Videos

Question

Chapter 6, Problem 7FCCE

To determine

The statement of addition principle.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 6, Problem 6FCCE

Chapter 6, Problem 8FCCE

Students have asked these similar questions

Harvard University California Institute of Technology Massachusetts Institute of Technology Stanford University Princeton University University of Cambridge University of Oxford University of California, Berkeley Imperial College London Yale University University of California, Los Angeles University of Chicago Johns Hopkins University Cornell University ETH Zurich University of Michigan University of Toronto Columbia University University of Pennsylvania Carnegie Mellon University University of Hong Kong University College London University of Washington Duke University Northwestern University University of Tokyo Georgia Institute of Technology Pohang University of Science and Technology University of California, Santa Barbara University of British Columbia University of North Carolina at Chapel Hill University of California, San Diego University of Illinois at Urbana-Champaign National University of Singapore McGill…

A research study in the year 2009 found that there were 2760 coyotes in a given region. The coyote population declined at a rate of 5.8% each year. How many fewer coyotes were there in 2024 than in 2015? Explain in at least one sentence how you solved the problem. Show your work. Round your answer to the nearest whole number.

Name Harvard University California Institute of Technology Massachusetts Institute of Technology Stanford University Princeton University University of Cambridge University of Oxford University of California, Berkeley Imperial College London Yale University University of California, Los Angeles University of Chicago Johns Hopkins University Cornell University ETH Zurich University of Michigan University of Toronto Columbia University University of Pennsylvania Carnegie Mellon University University of Hong Kong University College London University of Washington Duke University Northwestern University University of Tokyo Georgia Institute of Technology Pohang University of Science and Technology University of California, Santa Barbara University of British Columbia University of North Carolina at Chapel Hill University of California, San Diego University of Illinois at Urbana-Champaign National University of Singapore…

Chapter 6 Solutions

EBK FINITE MATHEMATICS & ITS APPLICATIO

Ch. 6.1 - 1. Lightbulbs A machine produces lightbulbs. As...Ch. 6.1 - 2. Citrus Fruit Suppose that there are two crates...Ch. 6.1 - 1. Committee Selection A committee of two people...Ch. 6.1 - 2. Selecting Letters A letter is selected at...Ch. 6.1 - Heads and Tails An experiment consists of tossing...Ch. 6.1 - Four-Sided Dice A pair of four-sided dice-each...Ch. 6.1 - 5. Selecting from Urns Suppose that we have two...Ch. 6.1 - Coin Tosses An experiment consists of tossing a...Ch. 6.1 - 7. Efficiency Studies An efficiency expert records...Ch. 6.1 - Census Data A census taker records the annual...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

The statement of addition principle.

Solution Summary: The author explains the addition principle of a probability event, wherein the probability of two mutually exclusive events A and B is given.

Concept explainers

Videos

The statement of addition principle.

Want to see the full answer?

Chapter 6 Solutions