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Compound events using tree diagrams
Worksheet
Grade Level
Grade 7
7.140 Compound events using tree diagrams
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A box has 5 green tiles and 3 white tiles. Two tiles are drawn without replacement, and then a spinner lands win 2/5 or lose 3/5. Which option gives a correct tree diagram and the probability of two green tiles, then win?
A
Tree: first draw green 5/8 and white 3/8; after green, green 4/7 and white 3/7; after white, green 5/7 and white 2/7; after each two-draw path, spinner branches win 2/5, lose 3/5; Probability: 5/14
B
Tree: first draw green 5/8 and white 3/8; after green, green 4/7 and white 3/7; after white, green 5/7 and white 2/7; after each two-draw path, spinner branches win 2/5, lose 3/5; Probability: 1/7
C
Tree: first draw green 5/8 and white 3/8; after green, green 4/7 and white 3/7; after white, green 5/7 and white 2/7; the spinner branches are shown only after one selected two-draw path; Probability: 1/7
D
Tree: first draw green 5/8 and white 3/8; after every first draw, green 5/8 and white 3/8; after each two-draw path, spinner branches win 2/5, lose 3/5; Probability: 5/32
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