Question

he 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

The fourth statement is true.

Reason: P(child | chose Mexico) = (number of children who chose Mexico) / (total who chose Mexico) = 14/113.

The other three are incorrect (the correct probabilities would be P(Hawaii | adult)=64/129, P(teen | Hawaii)=50/147, P(Florida | child)=62/109).