Combining Events (Addition And Multiplication Rules)
Bayani Gaba-gaba
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.
Manufura
- 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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Nazarin Darasi
Barka da kammala darasi akan Combining Events (Addition And Multiplication Rules). Yanzu da kuka bincika mahimman ra'ayoyi da ra'ayoyi, lokaci yayi da zaku gwada ilimin ku. Wannan sashe yana ba da ayyuka iri-iri Tambayoyin da aka tsara don ƙarfafa fahimtar ku da kuma taimaka muku auna fahimtar ku game da kayan.
Za ka gamu da haɗe-haɗen nau'ikan tambayoyi, ciki har da tambayoyin zaɓi da yawa, tambayoyin gajeren amsa, da tambayoyin rubutu. Kowace tambaya an ƙirƙira ta da kyau don auna fannoni daban-daban na iliminka da ƙwarewar tunani mai zurfi.
Yi wannan ɓangaren na kimantawa a matsayin wata dama don ƙarfafa fahimtarka kan batun kuma don gano duk wani yanki da kake buƙatar ƙarin karatu. Kada ka yanke ƙauna da duk wani ƙalubale da ka fuskanta; maimakon haka, ka kallesu a matsayin damar haɓaka da ingantawa.
- 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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Yi aikin wadannan tambayoyi a cikin manhaja
Littattafan da ake ba da shawarar karantawa
Ƙarin koyo daga tushe na buɗe
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Sashen littafi
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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