Question

Which describes independent events?

Spinning two fours on a spinner divided into four numbered sections.

Selecting two kings from a standard deck of cards by choosing a card at random, placing it in your pocket, then choosing the second card.

Selecting two green marbles by choosing one from a bag at random, giving the first to a friend, then choosing another.

Selecting the names of two siblings by choosing slips of paper from a hat at random, pinning the selected slip on a bulletin board, and then selecting another.

Answer 1

Two events are independent if the outcome of one of the events has no effect on the probability of the outcome of the other event. Do you think that sampling without replacement can result in independent events?

Answer 2

yes

Answer 3

is the answer a

Answer 4

Not really. Consider the following situation:
Selecting two kings from a standard deck of cards by choosing a card at random, placing it in your pocket, then choosing the second card.
By not replacing the first card before choosing the second the probability of choosing a king on the second selection is different from the probability of choosing a king on the first selection.
On the first selection:
P(King) = 4/52
If a king is selected on the first selection and not replaced, the probability of choosing a king on the second selection is:
P(King) = 3/51
Do you understand?

Answer 5

^^ This is in reply to your "Yes" answer to my first question.