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Conditional Probability

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Question 136

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]

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