L.O. Use venn diagrams to find probability

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Presentation transcript:

L.O. Use venn diagrams to find probability There are 50 people in a year group. 10 study Geography only. 20 study History only. In addition, 5 study both history and geography. History 50 Geography 20 ppl 5 ppl 10 ppl The “universal” set of all people/all possible events.

L.O. Use venn diagrams to find probability n(G ∩ H´) = n(G´ ∩ H) = n(H u G´) = n(H´ ∩ G´)= n(H) = n(G´) = n(H ∩ G) = n(G υ H) = History 20 Geography 10 5 50 History 20 Geography 10 5 50 History 20 Geography 10 5 50 History 20 Geography 10 5 50 History 20 Geography 10 5 50 History 20 Geography 10 5 50 History 20 Geography 10 5 50 History 20 Geography 10 5 50 History 20 Geography 10 5 50 History 20 Geography 10 5 50 History 20 Geography 10 5 50 History 20 Geography 10 5 50 History 20 Geography 10 5 50 History 20 Geography 10 5 50 History 20 Geography 10 5 50 History 20 Geography 10 5 50

L.O. Use venn diagrams to find probability Normally we will deal with probability instead. P(A)= P(B)= P(A´)= P(B´)= A B 0.6 0.1 0.2 є P(A ∩ B) = P(A u B) = P(A u B´)= P(A ∩ B´)=

L.O. Use venn diagrams to find probability Mutually exclusive: if one happens, the other cannot. Mutually exhaustive: these events cover all possibilities. є 0 items 0 items є є