Question

The two-way table shows the preferred vacation destination for people in different age groups. A 5-column table has 4 rows. The first column has entries child (less than 13 years old), Teenager (13 to 17 years old), Adult (18 years old and up), Total. The second column is labeled Hawaii with entries 33, 50, 64, 147. The third column is labeled Mexico with entries 14, 42, 57, 113. The fourth column is labeled Florida with entries 62, 25, 8, 95. The fifth column is labeled Total with entries 109, 117, 129, 355. Which statement is true? The probability that a randomly selected adult chose Hawaii as the preferred destination is StartFraction 147 Over 355 EndFraction. The probability that a randomly selected person who chose Hawaii as the preferred destination is a teenager is StartFraction 33 Over 50 EndFraction. The probability that a randomly selected child chose Florida as the preferred destination is StartFraction 62 Over 95 EndFraction. The probability that a randomly selected person who chose Mexico as the preferred destination is a child is StartFraction 14 Over 113 EndFraction.

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

The two-way table shows the preferred vacation destination for people in different age groups.

Which statement is True :

• The probability that a randomly selected adult chose Hawaii as the preferred destination is 147/355

• The probability that a randomly selected person who chose Hawaii as the preferred destination is a teenager is 33/50

• The probability that a randomly selected child chose Florida as the preferred destination is 62/95

• The probability that a randomly selected person who chose Mexico as the preferred destination is a child is 14/113

EVALUATION

CHECKING FOR OPTION : 1

Total number of adult = 129

The total number of persons that a randomly selected chose Hawaii as the preferred destination = 64

So the probability that a randomly selected adult chose Hawaii as the preferred destination is 64/129

Hence this option is not correct

CHECKING FOR OPTION : 2

The total number of persons that a randomly selected chose Hawaii as the preferred destination = 147

Among them number of teenager = 64

So the probability that a randomly selected person who chose Hawaii as the preferred destination is a teenager is 64/147

Hence this option is not correct

CHECKING FOR OPTION : 3

The total number of child = 109

Among them the number of child who choose Florida as the preferred destination = 62

So the probability that a randomly selected child chose Florida as the preferred destination is 62/109

Hence this option is not correct

CHECKING FOR OPTION : 4

The number of person who chose Mexico as the preferred destination is 113

Among them number of child is 14

So the probability that a randomly selected person who chose Mexico as the preferred destination is a child is 14/113

So this option is correct

FINAL ANSWER

Hence the correct option is

The probability that a randomly selected person who chose Mexico as the preferred destination is a child is 14/113

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