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.

Explanation:

Step1: Calculate the total number of artists

The total number of artists is the sum of painters, sculptors, and photographers. So, \(11 + 3+5=19\).

Step2: Calculate the number of favorable outcomes

The number of favorable outcomes (sculptors or photographers) is \(3 + 5=8\).

Step3: Use the probability formula

The probability \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). So, \(P = \frac{8}{19}\).

Answer:

\(\frac{8}{19}\)