Probability 1.4 Non-Mutually- Exclusive (1/4) Mutually Exclusive Events means that if one event occurs then the other does not. Not All Are !!!!!! 1 Probability 1.4 Non-Mutually- Exclusive (2/4) Venn Diagrams Multiples of 2 1 2 14 10 4 8 6 5 Multiples of 3 9 12 3 7 15 13 11 for 1 to 15 Flash 2 Probability 1.4 Non-Mutually- Exclusive (3/4) P(A or B) =P(A) + P(B) -P(A and B) A 1 2 10 Multiples of 2 4 6 12 5 B Multiples of 3 9 3 7 8 11 13 2 P(Mult of 2 or 3) = 6/15 + 4/15 - /15 = 8/15 3 Probability 1.4 Non-Mutually- Exclusive (4/4) In a group of 20 boys, 11 play cricket and/or 15 play football. Cricketers Footballers 10+ 9 11+ + 1 0 2 15 13 8 3 12 7 6 5 4 ++ 14 5 9 11 10 6 P(Play Both) = 9 20 == 20 25 26 24 23 22 21 4
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