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Tree diagrams can organize problems having more than two stages. A large study of children of Caucasian descent in Germany looked at the effect of

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Tree diagrams can organize problems having more than two stages. A large study of children of Caucasian descent in Germany looked at the effect of eye color, hair color, and freckles on the reported extent of burning from sun exposure. The population's distribution of hair color, eye color, and freckles is given in the tree diagram. Blue 0.143 Freckles 0.030 eyes 0.857 No Freckles 0.182 Black 0.047 Green hair eyes 0.818 0.923 Brown 0.018 yes 0.982 0.061 Blue 0.278 0.259 eyes 0.722 0.327 0.232 Brown Green hair eyes 0.768 0.461 0.414 Brown 0.153 eyes Caucasian 0.847 child 0.319 Blue 0.453 0.562 eyes 0.681 Blonde 0.315 Green 0.302 hair eyes 0.698 0.123 Brown 0.164 0.025 eyes 0.836 0.857 Blue 0.473 eyes 0.143 Red 0.405 Green 0.767 hair eyes 0.233 Brown 0.778 0.122 eyes 0.222Find the indicated probabilities. Give your answers to four decimal places. P(blue eyes | red hair) = P(blue eyes and red hair) = P(freckles | red hair and blue eyes) = P(freckles and red hair and blue eyes) =

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