Mathematics Specification A - 4MA1 PearsonEdexcel

Probability

Bayani Gaba-gaba

Probability measures how likely an event is to happen, placing every outcome on a scale from impossible (0) to certain (1). This topic gives you the vocabulary, notation and calculation techniques that underpin risk assessment, game design, weather forecasting and medical testing.

You will learn to list outcomes systematically, calculate theoretical and experimental probabilities, combine events using the addition rule for mutually exclusive outcomes, and read probabilities from Venn diagrams. Higher-tier students extend these ideas to tree diagrams, independent events and conditional probability.

Manufura

  1. Understand the language of probability
  2. Understand and use the probability scale
  3. Understand and use estimates or measures of probability from theoretical models
  4. Find probabilities from a Venn diagram
  5. Understand the concepts of a sample space and an event, and how the probability of an event happening can be determined from the sample space
  6. List all the outcomes for single events and for two successive events in a systematic way
  7. Estimate probabilities from previously collected data
  8. Calculate the probability of the complement of an event happening
  9. Use the addition rule of probability for mutually exclusive events
  10. Understand and use the term 'expected frequency'
  11. [Higher] Draw and use tree diagrams
  12. [Higher] Determine the probability that two or more independent events will occur
  13. [Higher] Use simple conditional probability when combining events
  14. [Higher] Apply probability to simple problems

Taswirar tunani

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Katunan tunawa

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Takardar Darasi

When a doctor says a vaccine is 95% effective, or a weather app shows a 30% chance of rain, they are not guessing. They are using probability: a branch of mathematics that turns uncertainty into a number you can reason with. In this topic you will build the tools to do the same, starting with everyday language and ending with powerful combination rules that handle multi-step problems.

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Nazarin Darasi

Barka da kammala darasi akan Probability. 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.

  1. A fair six-sided die is rolled once. What is the probability of rolling a number greater than 4? A) 1/6 B) 1/3 C) 1/2 D) 2/3 Answer: B
  2. Events A and B are mutually exclusive. P(A) = 0.3 and P(B) = 0.5. What is P(A or B)? A) 0.15 B) 0.2 C) 0.8 D) 1.0 Answer: C
  3. The probability of an event happening is 0.35. What is the probability of it not happening? A) 0.35 B) 0.45 C) 0.55 D) 0.65 Answer: D
  4. A biased spinner lands on red 45 times out of 150 spins. What is the estimated probability of landing on red? A) 45/150 B) 1/3 C) 3/10 D) Both A and C Answer: D
  5. A bag contains 5 red and 7 blue counters. One counter is drawn at random. What is the probability it is blue? A) 5/12 B) 7/12 C) 5/7 D) 7/5 Answer: B

Yi aikin wadannan tambayoyi a cikin manhaja

Yi aikin wadannan tambayoyi a cikin manhaja

Yi Aikin Tambayoyin Gwaji

Kana son yin aikin tambayoyin gwaji kan Probability? Sauke manhajar Green Bridge CBT don samun tambayoyin gwaji da cikakkun jarrabawa akan wannan batu.

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