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Conditional Probability

Conditional Probability

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Question 278

In a botanical survey of a large woodland area, trees are classified as being either Deciduous or Evergreen.

Of the Deciduous trees, 90% are found to be carrying a specific fungal infection. Of the Evergreen trees, 25% are found to be carrying the same infection.

The proportion of trees in the woodland that are Deciduous is kkk.

a.

Draw a tree diagram to represent this information.

[2]
b.

In the survey, 70.5% of all trees were found to be carrying the infection.

Find the value of kkk.

[3]
c.

One tree is selected at random from the woodland. Given that this tree is infected, find the probability that it is a Deciduous tree.

[2]
Markscheme

Conditional Probability Questions

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

330 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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