Question

for a class assignment, alan wanted to study whether or not the color of a persons car correlates with the color of his or her hair. he spent an hour at a stoplight recording the color of each car that passed and the hair color of its driver. what is the probability that a randomly selected driver has dark hair and has a light car? simplify any fractions.

Explanation:

Step1: Calculate the total number of drivers

Add up all the values in the table: \(2 + 8+5 + 4=19\)

Step2: Identify the number of drivers with dark hair and light - colored cars

From the table, the number of drivers with dark hair and light - colored cars is \(5\)

Step3: Calculate the probability

The probability \(P\) is given by the formula \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). So \(P = \frac{5}{19}\)

Answer:

\(\frac{5}{19}\)