Consider two bowls that each contain red and blue chips. Bowl 1 contains 3 red and 7 blue chips, while bowl 2 contains 8 red and 2 blue chips. A fair die is rolled, if it lands on a five or a six then bowl 1 is selected, otherwise bowl 2 is selected. Next, one chip is drawn from the selected bowl. a) Find the probability that a red chip is drawn. b) Given that a red chip was drawn, what is the probability that bowl 1 was selected?

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Consider two bowls that each contain red and blue chips. Bowl 1 contains 3 red and 7 blue chips, while bowl 2 contains 8 red and 2 blue chips. A fair die is rolled, if it lands on a five or a six then bowl 1 is selected, otherwise bowl 2 is selected. Next, one chip is drawn from the selected bowl.

a) Find the probability that a red chip is drawn.

b) Given that a red chip was drawn, what is the probability that bowl 1 was selected?

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