which statement is true?\nthe probability that a randomly selected adult chose hawaii as the preferred…

which statement is true?\nthe probability that a randomly selected adult chose hawaii as the preferred destination is $\frac{147}{355}$.\nthe probability that a randomly selected person who chose hawaii as the preferred destination is a teenager is $\frac{33}{50}$.\nthe probability that a randomly selected child chose florida as the preferred destination is $\frac{62}{95}$.\nthe probability that a randomly selected person who chose mexico as the preferred destination is a child is $\frac{14}{113}$.

which statement is true?\nthe probability that a randomly selected adult chose hawaii as the preferred destination is $\frac{147}{355}$.\nthe probability that a randomly selected person who chose hawaii as the preferred destination is a teenager is $\frac{33}{50}$.\nthe probability that a randomly selected child chose florida as the preferred destination is $\frac{62}{95}$.\nthe probability that a randomly selected person who chose mexico as the preferred destination is a child is $\frac{14}{113}$.

Answer

Answer:

The probability that a randomly - selected person who chose Mexico as the preferred destination is a child is $\frac{14}{113}$.

Explanation:

Step1: Recall probability formula

Probability = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$.

Step2: Analyze first statement

Number of adults who chose Hawaii is 64, total number of people is 355. Probability is $\frac{64}{355}\neq\frac{147}{355}$.

Step3: Analyze second statement

Number of teenagers who chose Hawaii is 50, total number of people who chose Hawaii is 147. Probability is $\frac{50}{147}\neq\frac{33}{50}$.

Step4: Analyze third statement

Number of children who chose Florida is 62, total number of people who chose Florida is 95. Probability is $\frac{62}{95}\neq\frac{52}{95}$.

Step5: Analyze fourth statement

Number of children who chose Mexico is 14, total number of people who chose Mexico is 113. Probability is $\frac{14}{113}$, so this statement is true.