Question

Which of the following actions will always be independent events?

selecting two cards from a standard deck, one at a time

selecting two marbles from a bag, one at a time

flipping two coins, one at a time

picking two letter tiles from a hat, one at a time

Answer 1

independent means second outcome is not effected by the first
if you pick out of a hat without replacement, the second outcome is changes depending on what was chosen first.
this is not true if you flip two coins
you flip one, the outcome of the second flip is completely independent of the first

Answer 2

i am assuming that the other choices were "without replacement" so the second outcome depends in some way on the first
here is a simple example
if you have three balls in an urn , two red and one white
pick a white one first, don't replace
then there is no way at all for you to pick a white on on the second try
on the other hand if you pick a red one first, then there are two left, one red and one white, so the chances of picking a white one are \(\frac{1}{2}\)
this is an example of "dependence"

Answer 3

coins on the other hand have no memory, so you can keep flipping and the probability that you get head is still \(\frac{1}{2}\) assuming the coin is fair.
that is an example of "independence"

Answer 4

So its...?

Answer 5

Its d?

Answer 6

um sorry, u tried hard it just me failed to understand

Answer 7

:(

Answer 8

a coin is very unpredictable

Answer 9

the result of independent coin tosses does not depend on previous results

Answer 10

with the first drawing of the cards, what are the odds of getting any particular card?

Answer 11

Thank u so much everyone for helping and come here! i really appreciate all of u to come n help me :) thank so so much guys! :)