Question

Out of 904 items checked out of a public library, 390 were fiction books, 224 were non-fiction books, and 290 were videos (of any genre). What is the probability that a randomly-selected item was not a video?

A) 0.321
B) 0.431
C) 0.472
D) 0.679

Answer 1

The probability that a randomly selected item is not a video from a library with 904 items is 614 non-video items divided by 904 total items, which equals approximately 0.679. The correct answer is D) 0.679.

Step-by-step explanation:

The question asks for the probability that a randomly selected item from the library is not a video. Out of 904 items, there are 390 fiction books, 224 non-fiction books, and 290 videos. To find the probability of not selecting a video, we need to calculate the total number of items that are not videos, which is the sum of fiction and non-fiction books, and divide that by the total number of items.

The total number of items that are not videos: 390 (fiction books) + 224 (non-fiction books) = 614.
The total number of items in the library: 904.
Probability that a randomly-selected item is not a video = Number of non-video items / Total number of items = 614 / 904.

When we do the math, we get:
Probability = 614 / 904 ≈ 0.679 (rounding to three decimal places).

Therefore, the correct answer is D) 0.679.