Beth has a box containing music CDs. Each CD contains songs from only one of these three genres: pop (P), hip-hop (H), and rock (R). She picks one CD from the box, replaces it, and then picks another CD. The sample space for this event is listed.

P-P H-P R-P
P-H H-H R-H
P-R R-R

What is the missing term for this compound event? What is the sample size?

A.
The missing term is H-P, and the sample size is 9.
B.
The missing term is H-R, and the sample size is 9.
C.
The missing term is H-P, and the sample size is 3.
D.
The missing term is H-R, and the sample size is 3.

Question

KaelKilla1974 KaelKilla1974

03-05-2021
Mathematics

Answered

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Beth has a box containing music CDs. Each CD contains songs from only one of these three genres: pop (P), hip-hop (H), and rock (R). She picks one CD from the box, replaces it, and then picks another CD. The sample space for this event is listed.

P-P H-P R-P
P-H H-H R-H
P-R R-R

What is the missing term for this compound event? What is the sample size?

A.
The missing term is H-P, and the sample size is 9.
B.
The missing term is H-R, and the sample size is 9.
C.
The missing term is H-P, and the sample size is 3.
D.
The missing term is H-R, and the sample size is 3.

Sagot :

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JackelineCasarez JackelineCasarez · Answer 1 · 2021-05-12T02:24:35-04:00

Answer:

B). The missing term is H-R, and the sample size is 9.

Step-by-step explanation:

Compound event is characterized as the likelihood of occurring two autonomous events at least one or more than one probable outcome.

As per the details provided, 'the term that is omitted in the given event of the compound would be (H-R) and the size of the sample would be 9(' including this missing one. The eight combination possibilities of the CDs have already been provided and thus, the last one would be 'H-R'(hip-hop and rock music CDs). This is why the total number of possibilities turns 9. Thus, option B is the correct answer.

Sagot :

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