1.7 Addition Rule - Tree Diagrams (1/3)

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Presentation transcript:

1.7 Addition Rule - Tree Diagrams (1/3) P(A or B) = P(A) + P(B) Rolling a single die twice. P(3 and 4 in any order) = P(3,4) + P(4,3) 1 36 1 36 2 36 1 18 = + = = 1st toss 2nd toss 1/6 1 6 1 6 1 36 1/6 3 4 P(3,4) = x = 1 6 1 6 1 36 1/6 4 3 P(4,3) = x = 1/6

Multiply along branches 1.8 Tree Diagrams (2/3) Rules Multiply along branches Add branches together.

1.7 Tree Diagrams Example (3/3) A bag contains 3 red, 6 blue, 5 green and 4 white marble. If two are chosen, with replacement, what is the probability that only one will be blue. 1/3 B Not P(Only one blue) = 1/3 B Not P(B, Not) + P(Not, B) 2/3 1/3 2/3 B Not = 1/3 x 1/3 + 2/3 x 2/3 = 4/9 2/3