for a class assignment, alan wanted to study whether or not the color of a persons car correlates with the…

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.\n\n| |light car|dark car|\n|--|--|--|\n|light hair|2|8|\n|dark hair|5|4|\n\nwhat is the probability that a randomly selected driver has dark hair and has a light car?\nsimplify any fractions.

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.\n\n| |light car|dark car|\n|--|--|--|\n|light hair|2|8|\n|dark hair|5|4|\n\nwhat is the probability that a randomly selected driver has dark hair and has a light car?\nsimplify any fractions.

Answer

Explanation:

Step1: Calculate the total number of drivers observed.

Add the numbers in all categories in the table to find the total number of drivers. $$ \text{Total drivers} = 2 + 8 + 5 + 4 = 19 $$

Step2: Identify the number of drivers with dark hair and a light car.

Locate the cell in the table corresponding to 'Dark hair' row and 'Light car' column. $$ \text{Number of drivers with dark hair and light car} = 5 $$

Step3: Calculate the probability.

Divide the number of drivers with dark hair and a light car by the total number of drivers. $$ P(\text{Dark hair and Light car}) = \frac{\text{Number of drivers with dark hair and light car}}{\text{Total drivers}} = \frac{5}{19} $$

Answer:

$\frac{5}{19}$