About 42% of people who get their eyes examined are found to be nearsighted (unable to see objects at a distance). What is the probability of an ophthalmologist examining five people until he finds the first patient who is nearsighted? (0.42)5 (0.58)4(0.42)1 (0.42)4(0.58)1 (0.58)5 1 − (0.42)4

(0.58)⁴ (0.42)¹

Step-by-step explanation:

42% of people who get their eyes examined are nearsighted.

So 58% of people who get their eyes examined are not nearsighted.

The probability that the ophthalmologist examines 4 people who are not near sighted, followed by 1 person who is nearsighted, is:

P = (0.58)⁴ (0.42)¹