Questions: You decide to record the hair colors of people leaving a lecture at your school. What is the probability that the next person who leaves the lecture will have gray hair? Express your answer as a simplified fraction or a decimal rounded to four decimal places.

$You decide to record the hair colors of people leaving a lecture at your school. What is the probability that the next person who leaves the lecture will have gray hair? Express your answer as a simplified fraction or a decimal rounded to four decimal places.$

Transcript text: You decide to record the hair colors of people leaving a lecture at your school. What is the probability that the next person who leaves the lecture will have gray hair? Express your answer as a simplified fraction or a decimal rounded to four decimal places.

Solution

Solution Steps

Step 1: Calculate the total number of observations

To find the total number of people observed, sum the counts of all hair colors: \[n_{\text{total}} = 43 + 60 + 31 + 25 + 49 = 208\]

Step 2: Calculate the probability of the specific hair color

The probability of the specific hair color is calculated by dividing the number of people with the specific hair color by the total number of observations: \[P(\text{specific color}) = \frac{49}{208} = 0.236\]