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Conditional Probability

Conditional Probability

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Question 313

In a boutique wildlife sanctuary with 200 animals, each animal is classified as a Mammal, Bird, or Reptile. The following table shows the number of animals in each category and whether they are Vaccinated (VVV) or Not Vaccinated (V′V'V′).

The events MMM, BBB, and R R\,R represent a randomly selected animal being a Mammal, Bird, or Reptile respectively. Let V V\,V be the event that an animal is vaccinated.

An animal is selected at random. Find:

a.

P(B)P(B)P(B)

[1]
b.

P((M∩V)′)P((M \cap V)')P((M∩V)′)

[2]
c.

P(V∣R)P(V | R)P(V∣R)

[2]
d.

Let T T\,T be the event that an animal is fitted with an electronic tracking tag. Given that 25% of Mammals, 40% of Birds, and 10% of Reptiles are fitted with a tag,

describe the structure of a Venn diagram to represent the events M,B,R M, B, R\,M,B,R and TTT.

[1]
e.

find the probability that a randomly selected animal is fitted with an electronic tracking tag.

[3]
Markscheme

Conditional Probability Questions

  1. A Level
  2. /Maths
  3. /Conditional Probability

368 exam-style questions on Edexcel A Level Maths Conditional Probability, covering 2.1 Set Notation, 2.2 Conditional Probability, 2.3 Conditional Probabilities in Venn Diagrams, 2.4 Probability Formulae, and 2.5 Tree Diagrams. Each one has a worked solution and a mark scheme showing where the marks go.

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