Based on Data Obtained from the National Institute of Dental

question 201

Short Answer

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 __________.

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Definitions:

Nominal Interest

The stated interest rate of a financial instrument, not accounting for inflation or compounding effects.

Compounded Semi-annually

Interest calculation method where the invested sum earns interest twice a year, and this interest is added to the principal for the computation of future interest.

Semi-annual Deposits

Deposits that are made twice a year into a financial account.

Retirement Fund

Financial resources that have been saved or accumulated to support a person's living expenses after they cease working.