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(Solved): M&Ms 40 M&Ms were randomly selected from a large bag of M&Ms. The number of each color is recorded ...





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:
Quanti
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: Quantity 5 6 10 Brown BR 7 Orange O 5 Red R 7 Construct two tree diagrams (1 for with replacement and I 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. 2. The M&Ms were put in a cup and an experiment was conducted by picking out 2 M&Ms, one at a time, with replacement. This was repeated 23 more times, for a total of 24 times. Each experiment starts with 40 M&Ms in the cup. The result of each experiment is recorded below. Use the table to answer the following probability questions. Remember you now have a sample space so you need only count the number of the experiments that fulfill what's being asked. Leave your answers in unreduced fractional form. All answers MUST include both the numerator and the denominator. Without Replacement (G,Y) (Y,G) (R,BL) (BL,O) (G, BR) (BL,Y) (BL,BR) NOTE: The ordered pair (BR,BL) means the first M&M selected was brown, the second M&M selected was blue. (BR,BL) (BR,BR) (R,G) (Y,Y) (O,G) (BR,G) (R,G) (BL,O) (O,G) (Y,BR) (BR.R) Color (BR,G) (Y,BR) (BR,BL) (BL,BL) Yellow Y Green G Blue BL (O,R) (Y,BR) Experimental P(BL? and BL2): P(BL? and BR? or BR? and BL?): P(BL1 and O?): P(O?|BL?): P(no yellows on either draw): With Replacement 1/24


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