April is randomly choosing five CDs to bring in her car from the following: 6 pop CDs, 8 rock CDs, and 10 R&B CDs. What is the complement of April choosing five pop CDs? choosing five CDs where none of them are pop
choosing five CDs where not all of them are pop
choosing five CDs where at least one of them is pop
 choosing five CDs where all of them are pop

Respuesta :

The correct answer is:

choosing five CDs where not all of them are pop

Explanation:

The complement of an event is the set of outcomes that are not the event in question.  In this case, the event is April choosing 5 CDs and all of them being pop.  The complement then, the set of outcomes that are not April choosing all 5 pop CDs, means at least 1 of them would not be pop.  This would be enough to make it the complement.

The probabilities of choosing five CDs where none of them are pop and choosing five CDs where all of them are pop are 0.75 and 0.25.

What is the probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

Given

6 pop CDs, 8 rock CDs, and 10 R&B CDs.

Total Cds = 24

The probability formula

[tex]\rm Probability = \dfrac{Favorable\ event}{Total\ events}[/tex]

How to find the probability?

1.  Choosing five CDs where none of them are pop then the probability will be

Favorable event = 18

[tex]\rm Probability = \dfrac{18}{24}\\\\Probability = 0.75[/tex]

2.  Choosing five CDs where all of them are pop then the probability will be

Favorable event = 6

[tex]\rm Probability = \dfrac{6}{24}\\\\Probability = 0.25[/tex]

So the probabilities are 0.75 and 0.25.

More about the probability link is given below.

https://brainly.com/question/795909