Answer Happy

M&Ms 40 M&Ms were randomly selected from a large bag of M&Ms. The number of each color is recorded in the table below: Color Yellow Y Green G Blue BL Brown BR Orange O Red R Quantity 5 6 10 7 5 7 Construct two tree diagrams (1 for with replacement and 1 for without replacement) showing the selection of two M&Ms, one at a time, from the 40 M&Ms above, using the information in the table above. DO NOT TURN IN THE TREE DIAGRAMS - they are to help you answer the first question. 1. Theoretical Probabilities Use your tree diagrams to complete the table below. Leave your answers in unreduced fractional form. With Replacement 100/1600 Without Replacement 90/1560 P(BL₁ and BL₂): P(BL₁ and BR₂ or BR₁ and BL₂): P(BL₁ and O₂): P(O₂ BL1): P(no yellows on either draw): Note: O₂ = orange on second pick; BL₁= blue on first pick; BL:= blue on second pick; BR₁= brown on first pick; BR₂ = brown on second pick.