Question 1182243: Lacy draws a spade from a standard deck of 52 cards.
Without replacing the first card, she then proceeds to draw a second card and gets a club.
Are these events independent?
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Determine the probability of drawing a spade from a standard deck of 52 cards.
Write as decimal form, rounded to 4 decimal places as needed.
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! since she did not replace the first card that she drew, then the probability of the second event is dependent on the outcome of the first event.
the deck has 52 cards.
if all the cards are in the deck, the probability of drawing a club is 13/52.
if she draws a spade and she doesn't replace the card in the deck, there are still 13 clubs in the deck but the total number of cards is 51 rather than 52.
that changes the probability of drawing a club from 13/52 to 13/51.
that makes the events dependent.
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