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Conditional Probability

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Question 132

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]

Conditional Probability Questions

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

Practise Edexcel A Level Maths Conditional Probability with exam-style questions for A Level Maths. 152 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank