Mathematics Specification B - 4MB1 PearsonEdexcel

Probability

Bayani Gaba-gaba

A weather forecaster who says '70% chance of rain' is not guessing: that number comes from counting how often rain followed similar conditions in the past. Probability turns uncertainty into a precise number between 0 and 1, and once events start combining, whether one after another or at the same time, a small set of rules tells you exactly how to combine their probabilities correctly.

This topic builds the probability scale, sample spaces and relative frequency, then covers the addition rule for mutually exclusive events, the product rule for independent events, tree diagrams for combined and conditional events, very simple conditional probability, and expected frequency.

Manufura

  1. Understand the language and basic concepts of probability including the probability scale, sample spaces, relative frequency, probabilities and complements
  2. Use the addition rule for two or more mutually exclusive events
  3. Use the product rule for two or more independent events
  4. Determine the probability of two or more independent events
  5. Use simple conditional probability for combined events using tree diagrams
  6. Find very simple conditional probability
  7. Understand and use the term expected frequency

Takardar Darasi

Every probability is a number from 0 to 1, where 0 means impossible and 1 means certain. A probability can be written as a fraction, a decimal or a percentage, and it can never fall outside this range: a calculation that produces a probability below 0 or above 1 contains an error.

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Nazarin Darasi

Barka da kammala darasi akan Probability. Yanzu da kuka bincika mahimman raayoyi da raayoyi, 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.

  1. P(rain) = 0.65. What is P(no rain)? A) 0.35 B) 0.65 C) 1.65 D) 0 Answer: A
  2. A fair die is rolled once. What is P(multiple of 2 or multiple of 3)? A) 1/6 B) 1/2 C) 2/3 D) 5/6 Answer: C
  3. Two fair coins are tossed. What is P(both land heads)? A) 1/2 B) 1/3 C) 1/4 D) 1/8 Answer: C
  4. A bag has 4 red and 6 blue counters. One is drawn and NOT replaced, then a second is drawn. What is P(second is red | first is red)? A) 4/10 B) 3/9 C) 4/9 D) 3/10 Answer: B
  5. A biased die has P(6) = 0.2. It is rolled 150 times. What is the expected number of sixes? A) 15 B) 20 C) 30 D) 75 Answer: C

Akwai a cikin manhajar Green Bridge

Zazzage manhajar Green Bridge CBT a wayar ka ko kwamfyuta ka don samun cikakkiyar bayanan darasi, tambayoyin aiki, da ƙari.

Cikakkiyar bayanan darasi tare da zane-zane
Mataimakiyar koyo da AI
Yi karatu ba tare da intanet ba, a kowane lokaci, a ko'ina
Akwai a Android, Windows, macOS, da Linux

Akwai a cikin manhajar Green Bridge

Zazzage manhajar Green Bridge CBT a wayar ka ko kwamfyuta ka don samun cikakkiyar bayanan darasi, tambayoyin aiki, da ƙari.

Cikakkiyar bayanan darasi tare da zane-zane
Mataimakiyar koyo da AI
Yi karatu ba tare da intanet ba, a kowane lokaci, a ko'ina
Akwai a Android, Windows, macOS, da Linux

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