Venn Diagrams with Conditional Probability (Cambridge (CIE) A Level Maths): Revision Note
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Further Venn Diagrams
What do you mean by further Venn diagrams?
The Venn diagrams used here are no more complicated than those in the first Venn Diagrams revision note, however
questions may use set notation as well, or alongside contextual questions
there may be more detailed use of conditional probability
mutually exclusive, three events and other unusual Venn diagram setups may be involved
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How do I solve conditional probability problems using Venn diagrams?
Interpreting questions in terms of AND (
), OR (
), complement ( ‘ ) and
“given that” ( | )Use mini-Venn diagrams to sketch and shade the regions you are dealing with – use different colours if available or different styles of shading if not
Shading can help you see the answer
since shade B first, then shade
the answer will then be
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Worked Example
Three events, and
are such that
events and
are mutually exclusive
Find
(i)
(ii)
(iii)
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Examiner Tips and Tricks
Although very versatile, Venn diagrams may not always be the best option
use a tree diagram if one event follows another
e.g. two beads drawn from a bag without replacement
use a two-way table for showing how many items/people are in associated categories
e.g. A school year group split by gender selecting which sport they wish to play
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