the two - way table shows the preferred vacation destination for people in different age groups.\n| | hawaii…

the two - way table shows the preferred vacation destination for people in different age groups.\n| | hawaii | mexico | florida | total |\n|--|--|--|--|--|\n| child (less than 13 years old) | 33 | 14 | 62 | 109 |\n| teenager (13 to 17 years old) | 50 | 42 | 25 | 117 |\n| adult (18 years old and up) | 64 | 57 | 8 | 129 |\n| total | 147 | 113 | 95 | 355 |\nwhich statement is true?\no the probability that a randomly selected adult chose hawaii as the preferred destination is $\frac{147}{355}$.\no the probability that a randomly selected person who chose hawaii as the preferred destination is a teenager is $\frac{33}{50}$.\no the probability that a randomly selected child chose florida as the preferred destination is $\frac{62}{95}$.\no the probability that a randomly selected person who chose mexico as the preferred destination is a child is $\frac{14}{113}$.

the two - way table shows the preferred vacation destination for people in different age groups.\n| | hawaii | mexico | florida | total |\n|--|--|--|--|--|\n| child (less than 13 years old) | 33 | 14 | 62 | 109 |\n| teenager (13 to 17 years old) | 50 | 42 | 25 | 117 |\n| adult (18 years old and up) | 64 | 57 | 8 | 129 |\n| total | 147 | 113 | 95 | 355 |\nwhich statement is true?\no the probability that a randomly selected adult chose hawaii as the preferred destination is $\frac{147}{355}$.\no the probability that a randomly selected person who chose hawaii as the preferred destination is a teenager is $\frac{33}{50}$.\no the probability that a randomly selected child chose florida as the preferred destination is $\frac{62}{95}$.\no the probability that a randomly selected person who chose mexico as the preferred destination is a child is $\frac{14}{113}$.

Answer

Explanation:

Step1: Recall probability formula

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

Step2: Analyze first option

Number of adults who chose Hawaii is 64, total number of people is 355. Probability that a randomly - selected adult chose Hawaii is $\frac{64}{129}$, not $\frac{147}{355}$.

Step3: Analyze second option

Number of teenagers who chose Hawaii is 50, total number of people who chose Hawaii is 147. Probability that a randomly - selected person who chose Hawaii is a teenager is $\frac{50}{147}$, not $\frac{33}{50}$.

Step4: Analyze third option

Number of children who chose Florida is 62, total number of children is 109. Probability that a randomly - selected child chose Florida is $\frac{62}{109}$, not $\frac{62}{95}$.

Step5: Analyze fourth option

Number of children who chose Mexico is 14, total number of people who chose Mexico is 113. Probability that a randomly - selected person who chose Mexico is a child is $\frac{14}{113}$.

Answer:

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