Question

mariah is randomly choosing three books to read from the following: 5 mysteries, 7 biographies, and 8 science fiction novels. which of these statements are true? choose three correct answers. the probability that mariah will choose 3 mysteries can be expressed as \\(\frac{1}{_5c_3}\\) there are \\(_5c_3\\) possible ways to choose three mysteries to read. the probability that mariah will not choose all mysteries can be expressed as \\(1 - \frac{_5c_3}{_{20}c_3}\\). there are \\(_{20}c_3\\) possible ways to choose three books to read. there are \\(_{15}c_3\\) possible ways to choose three books that are not all mysteries.

Explanation:

Answer:

There are \(_{5}C_{3}\) possible ways to choose three mysteries to read.
The probability that Mariah will not choose all mysteries can be expressed as \(1-\frac{_{5}C_{3}}{_{20}C_{3}}\).
There are \(_{20}C_{3}\) possible ways to choose three books to read.