Conditional Probability

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An ecological survey analyzed 150 specific woodland plots to identify the presence of three rare fungal species: Amanita ( $A$ ), Boletus ( $B$ ), and Clitocybe ( $C$ ). The findings were as follows:

82 plots contained Amanita
68 plots contained Boletus
54 plots contained Clitocybe
38 plots contained both Amanita and Boletus
28 plots contained both Boletus and Clitocybe
32 plots contained both Amanita and Clitocybe
18 plots contained all three species

Draw a Venn diagram to represent these data.

[4]

Find the probability that a randomly selected plot from the survey:

contains none of these fungal species,

[1]

contains Boletus but does not contain Amanita,

[2]

contains at least two of these species.

[2]

One plot is selected at random and is found to contain Amanita.

Find the probability that this plot also contains Boletus but does not contain Clitocybe.

[3]

Conditional Probability Questions

Practise Edexcel A Level Maths Conditional Probability with exam-style questions for A Level Maths. 100 questions covering Set Notation, Conditional Probability, Conditional Probabilities in Venn Diagrams, Probability Formulae, and Tree Diagrams, 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.