Respuesta :
Independent events are those events that do not affect each other in any way. Any change in one event will no have a corresponding change to the other one. Therefore, the independent events are:
Roll a number cube, and then roll the same number cube again,
Flip a coin, and then flip the coin a second time.
Draw a card from a deck, replace it, and then draw a second card.
Roll a number cube, and then roll the same number cube again,
Flip a coin, and then flip the coin a second time.
Draw a card from a deck, replace it, and then draw a second card.
You can use the definition of independent events to find out which events are independent and which are not.
The events that are independent are:
Option A, B, and D are independent events.
Which pair of events are called independent events?
When one event's occurrence or non-occurrence doesn't affect occurrence or non-occurrence of other event, then such events are called independent events.
How to find which pair of events are independent events?
Exploring all cases given
A) Roll a number cube, and then roll the same number cube again.
This is independent events' pair since number on a cube(assuming even cube) doesn't depend on the previous value of the number on the cube.
B) Flip a coin, and then flip the coin a second time.
This is independent events' pair as flipping an even coin will result in random result irrespective of what result came previously.
C) Remove a card from a deck, and then remove a second card.
This is dependent events' pair. It is because, once you remove a card, in the second removal it is known that the result won't have that first card. So the second result will depend on the first result in some sense of type of card drawn.
D) Draw a card from a deck, replace it, and then draw a second card.
Since the card was replaced, unlike the previous case, thus, the second event's result won't be depending on the first drawing's result. Thus, this is independent events' pair.
E) Take a marble out of a bag, and then take a second marble out of the bag.
Just like Option C, the second removal will have effect from the first removal as now the bag isn't same as it was before the first removal. Thus, it is dependent events' pair.
Thus,
Option A, B, and D are independent events.
Learn more about independent and dependent events here:
https://brainly.com/question/1538763
