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AS LEVEL MATHS STATS PROBABILITY
Typology: Exercises
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Venn diagrams Regions can be filled with frequencies or probabilities โOrโ, union, ๐จ โช ๐ฉ Shade all of ๐ด, shade all of ๐ต โAndโ, intersection ๐จ โฉ ๐ฉ Lightly shade all of ๐ด, lightly shade all of ๐ต โ for final shading, only shade their overlap โNotโ, complement, ๐จโฒ Consider ๐ด, then shade everything outside this area Correctly shade the following Venn diagrams:
Independent events, mutually exclusive events Independent events The outcome of one event has no effect on the outcome of the other event Events are independent if: ๐ ๐ด โฉ ๐ต = ๐(๐ด) ร ๐(๐ต) You cannot easily tell if events are independent by looking at the Venn diagram Mutually exclusive events Events which cannot both occur simultaneously Shown on a Venn diagram by events which do not overlap ๐ ๐ด โช ๐ต = ๐ ๐ด + ๐(๐ต)