Two candy bowls contain red and green candies. The first bowl contains an even mix of red and green candies, while the second bowl contains 70% red and 30% green candies. A bowl is chosen, and a candy from that bowl is randomly selected. Suppose that whenever a red candy is chosen, it came from the first bowl 62.5% of the time. What is the probability that the first bowl is chosen? C..... The probability is . Type an integer or decimal rounded to three decimal places as needed.)

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