Question
An organization will give a prize to a local artist. The artist will be randomly chosen from among 10 painters, 3 sculptors, and 5 photographers. What is
the probability that the artist chosen will be a sculptor or a photographer?
Write your answer as a fraction.
the probability that the artist chosen will be a sculptor or a photographer?
Write your answer as a fraction.
Ask by Lowe Brewer. in the United States
Mar 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The probability is
.
Solution
The total number of artists is calculated as follows:
The number of favorable outcomes (choosing a sculptor or a photographer) is:
Thus, the probability that the chosen artist is a sculptor or a photographer is:
Answered by UpStudy AI and reviewed by a Professional Tutor
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Extra Insights
To find the probability that the artist chosen will be a sculptor or a photographer, first determine the total number of artists: 10 painters + 3 sculptors + 5 photographers = 18 artists.
The number of favorable outcomes for choosing either a sculptor or a photographer is 3 sculptors + 5 photographers = 8 favorable outcomes.
Thus, the probability is the number of favorable outcomes divided by the total number of outcomes, which is 8/18. This can be simplified to 4/9.
So, the probability that the artist chosen will be a sculptor or a photographer is 4/9.