Question

In Exercises 13–20, express the indicated degree of likelihood as a probability value between 0 and 1.

Luggage Based on a Harris poll, if you randomly select a traveller, there is a 43% chance that his or her luggage is black.

Short answer

The probability that a randomly selected traveler has black-colored luggage is 0.43.

Step-by-step solution

 Step 1: Given information

For a randomly selected traveler, there is a 43% chance that their luggage is black.

Define probability

Probability is the measure computed in the range of 0 to 1 to express the chance of occurrence of an arbitrary event.

It is calculated using the formula

$P\left(A\right)=\frac{\text{Number}\text{of}\text{outcomes}\text{in}\text{favour}\text{of}A}{\text{Total}\text{number}\text{of}\text{outcomes}}$

A probability (between 0 and 1) can be computed from the percentage equivalent measure bydividing it by 100.

Calculate the probability 

The percentage of travelers with black luggage is 43%.

The probability of event E (traveler having black luggage) is

$$\begin{gathered} P\left(E\right)=\frac{43}{100} \\ =0.43 \end{gathered}$$

Therefore, the probability of choosing a traveler who has black-colored luggage is 0.43.