A drawer contains 3 red paperclips, 4 green paperclips, and 5 blue paperclips. One paperclip is taken from the drawer and then replaced. Another paperclip is
Mathematics
morbidmimi
Question
A drawer contains 3 red paperclips, 4 green paperclips, and 5 blue paperclips. One paperclip is taken from the drawer and then replaced. Another paperclip is taken from the drawer. Explain why this is an independent or a dependent event.
a.
Independent  the first paper clip is replaced, the sample space of 12 paperclips does not change from the first event to the second event
c.
Independent  the sample space changes from the first event to the second event
b.
Dependent  the first paper clip is replaced, the sample space of 12 paperclips does not change from the first event to the second event
d.
Dependent  the sample space changes from the first event to the second event
a.
Independent  the first paper clip is replaced, the sample space of 12 paperclips does not change from the first event to the second event
c.
Independent  the sample space changes from the first event to the second event
b.
Dependent  the first paper clip is replaced, the sample space of 12 paperclips does not change from the first event to the second event
d.
Dependent  the sample space changes from the first event to the second event
2 Answer

1. User Answers dvilleda98
Answer:
a.
Independent  the first paper clip is replaced, the sample space of 12 paperclips does not change from the first event to the second event
Stepbystep explanation:

2. User Answers RenatoMattice
Answer: Option 'a' is correct.
Stepbystep explanation:
As we know that "Independent events are those events whose occurrence does not depend upon its consecutive events."
That means, Probability of one occurrence does not affect the probability of other occurrence.
According to question, One paperclip is taken from the drawer and then replaced. Another paperclip is taken from the drawer.
So, It is an independent event as the first paper clip is replaced, the sample space of 12 paperclips does not change from the first event to the second event.
Hence, Option 'a' is correct.