Question

you randomly draw a card from two separate standard decks of cards. are the events independent or dependent? why?
(1 point)
○ dependent, because the outcome of the first event does not affect the outcome of the second event.
○ independent, because the outcome of the first event affects the outcome of the second event.
○ independent, because the outcome of the first event does not affect the outcome of the second event.
○ dependent, because the outcome of the first event affects the outcome of the second event.

Explanation:

Two events are independent if the outcome of one event does not affect the outcome of the other event. Here, we have two separate standard decks of cards. Drawing a card from the first deck has no impact on the cards in the second deck. So, the outcome of drawing a card from the first deck does not influence the outcome of drawing a card from the second deck.

Answer:

Independent, because the outcome of the first event does not affect the outcome of the second event.