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:

Affirmative Premise

A statement within a logical argument that positively asserts a relationship or condition, contributing towards the conclusion.

Proposition

A formulated idea or plan suggested for acceptance; a plan of action.

Standard Form

A recognized format for presenting information or arguments in a structured and consistent manner.

Pure Hypothetical

A scenario or statement based solely on conjecture without any factual basis or actual case reference.