An organization will give a prize to a local artist. The artist will be randomly chosen from among 11 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 in simplest form.
Question
An organization will give a prize to a local artist. The artist will be randomly chosen from among 11 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 in simplest form.
Solution
To solve this problem, we first need to determine the total number of artists. We do this by adding the number of painters, sculptors, and photographers together:
11 painters + 3 sculptors + 5 photographers = 19 artists
Next, we need to determine the total number of artists who are either sculptors or photographers. We do this by adding the number of sculptors and photographers together:
3 sculptors + 5 photographers = 8 artists
The probability of an event is calculated by dividing the number of ways the event can occur by the total number of outcomes. In this case, the event is that the artist chosen is a sculptor or a photographer, and the total number of outcomes is the total number of artists. So, we divide the number of sculptors and photographers by the total number of artists to get the probability:
8 artists (sculptors or photographers) / 19 artists (total) = 8/19
So, the probability that the artist chosen will be a sculptor or a photographer is 8/19.
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