Question

Peter randomly picks a card from a deck. He does not put the card back into the deck. Then he picks another card at random.

Are these events dependent or independent?



A.
dependent


B.
independent

Answer 1

Let me ask you this question.
If you take two identical decks of cards, then you remove one card from one deck and set aside.

Now take the two decks, one is complete, and one has a card missing.
Will taking one card from the complete set have the same outcome as taking one card from the set with a missing card?

Answer 2

no?

Answer 3

yes? no?

Answer 4

@mathstudent55 r u there

Answer 5

Correct. Since one deck has a different number of cards than the other, picking a card from one or picking a card from the other is different.

Now let's go back to your problem.
By picking a card and not returning it to the deck, you now created a different deck. That means what was done first affects the outcome of the second pick. That makes the events dependent.

Answer 6

so its dependant

Answer 7

correct

Answer 8

Dependent occurs when one event influences the outcome of the second event.

Answer 9

At tryouts, the coach has everyone randomly choose a number from a hat to decide the order in which they will perform. Nicole picks a number first and gives it to the coach. Diane picks a number second.

Are these events dependent or independent?

Answer 10

Once again, does picking the first number affect the picking of the second number? Since the first number was not returned to the hat, the hat contains one number less when the second number is picked. That means the picking of the first number affects the picking of the second number. That means the events are dependent.