Based on Data Obtained from the National Institute of Dental

Multiple Choice

Based on data obtained from the National Institute of Dental Research, it has been determined that 44% of 12-year-olds have never had a cavity, 35% of 13-year-olds have never had a cavity, and 25% 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?

A) 0.67
B) 0.04
C) 0.39
D) 0.3