A cooler contains nine bottles of sports drink: 4 lemon-lime flavored, 3 orange flavored, and 2 fruit punch flavored. Your friend randomly selects a drink and drinks it. 10 minutes later, you
randomly select a drink and drink it. What is the probability that your friend got a drink flavored
fruit punch and you got a drink flavored orange?

The probability that out of the nine drinks in the cooler, one of the two friends selects a drink flavored fruit punch after which the next of the two friends selects a drink flavored orange is

Step-by-step explanation:

The given parameters for the content of the cooler are;

The total number of bottles of sports drink in the cooler, n = 9 bottles

The number of lemon-lime flavored bottles of sports drink in the cooler, L = 4 bottles

The number of orange flavored bottles of sports drink in the cooler in the cooler, O = 3 bottles

The number of fruit punch flavored bottles of sports drink in the cooler, F = 2 bottles

The probability of selecting a drink flavored fruit punch, = F/n = 2/9

The probability of selecting a drink flavored orange given that a drink flavored fruit punch has already been selected is = O/(n₁)

Where;

n₁ = n - 1 = 9 - 1 = 8

∴ = O/(n₁) = O/(n - 1) = 3/(9 - 1) = 3/8

Therefore, the probability that the first of two friends to select a drink got a drink flavored fruit punch and the second of the two friends got a drink flavored orange is, P = ×

∴ P = 2/9

The probability that one of two friends selects a drink flavored fruit punch and the next of the two friends selected a drink flavored orange is P = 1/12 = 0.08.

in geometry, parallel lines are lines in a plane which do not meet; that is, two lines in a plane that do not intersect or touch each other at any point are said to be parallel. by extension, a line and a plane, or two planes, in three-dimensional euclidean space that do not share a point are said to be parallel.