Based on data obtained from the National Institute of Dental Research, it has been determined that 42% of 12-year-olds have never had a cavity, 32% of 13-year-olds have never had a cavity, and 27% of 14-year-olds have never had a cavity.
If a child is selected at random from a group of 20 junior high school students comprising four 12-year-olds, six 13-year-olds, and ten 14-year-olds and this child does not have a cavity, what is the probability that this child is 14 years old? If necessary, round your answer to two decimal places.
The probability is __________.
Correct Answer:
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