Question

an organization will give a prize to a local artist. the artist will be randomly chosen from among 7 painters, 4 sculptors, and 5 photographers. what is the probability that the artist chosen will be a painter or a photographer? write your answer as a fraction in simplest form.

Explanation:

Step1: Calculate total number of artists

Total number of artists = 7 (painters)+4 (sculptors)+5 (photographers) = 16.

Step2: Calculate number of favorable - outcome artists

Number of painters or photographers = 7 (painters)+5 (photographers)=12.

Step3: Calculate probability

Probability = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{12}{16}=\frac{3}{4}$.

Answer:

$\frac{3}{4}$