Question

type the correct answer in the box. use numerals instead of words. use / for the fraction bar. a cooler contains 14 bottles of water and 10 bottles of lemonade. colleen randomly selects 2 bottles from the cooler without replacement. the probability, as a fraction in simplest terms, that colleen selected a bottle of water and then a bottle of lemonade is

Explanation:

Step1: Calculate first - pick probability

$\frac{14}{14 + 10}=\frac{14}{24}$

Step2: Calculate second - pick probability

$\frac{10}{24- 1}=\frac{10}{23}$

Step3: Calculate combined probability

$\frac{14}{24}\times\frac{10}{23}=\frac{140}{552}=\frac{35}{132}$

Answer:

$\frac{35}{132}$