Combining Events (Addition And Multiplication Rules)
Muhtasari
Most real questions involve more than one event: drawing two cards, rolling and flipping, this happening or that happening. Two simple rules, addition and multiplication, let you combine probabilities correctly.
In this lesson you will use the addition rule for mutually exclusive events (this or that) and the multiplication rule for independent events (this and that), and recognize which rule a problem needs.
Malengo
- Apply the addition rule P(A or B) = P(A) + P(B) - P(A and B) and the multiplication rule for combined events.
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- For mutually exclusive events, P(A or B) equals: A. P(A) x P(B) B. P(A) + P(B) C. P(A) - P(B) D. P(A)/P(B) Answer: B
- For independent events, P(A and B) equals: A. P(A) + P(B) B. P(A) - P(B) C. P(A) x P(B) D. P(A)/P(B) Answer: C
- A die is rolled. P(2 or 5) is: A. 1/6 B. 1/3 C. 1/2 D. 2/3 Answer: B
- A coin is flipped and a die rolled. P(heads and a 6) is: A. 1/2 B. 1/6 C. 1/12 D. 1/8 Answer: C
- The word 'and' for independent events usually tells you to: A. add B. subtract C. multiply D. divide Answer: C
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Vitabu Vinavyopendekezwa
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Sehemu ya kitabu
Two Basic Rules of Probability
When calculating probability, there are two rules to consider when determining if two events are independent or dependent and if they are mutually exclusive or not. If A and B are two events defined on a sample space , then: P ( A AND B ) = P ( B ) P ( A | B ). This rule may also be written as: P (
"Introductory Statistics: Two Basic Rules of Probability" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/introductory-statistics/pages/3-3-two-basic-rules-of-probability. Access for free at https://openstax.org/books/introductory-statistics/pages/1-introduction
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