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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? Input Yes or No: Determine the probability of drawing a spade and then a club without replacement. Write your answer in decimal form rounded to two decimal placgs as needed Answer Get help Video Video
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Answer #1

Let x be the event of drawing a spade from a standard pack of cards. And Y be the event of getting a club without replacing the first draw .events are NOT INDEPENDENT.

So, p(X)=13/52 , =1/4 = 0.25

And P(Y)= 13/51=0.2549 as one card has been drawn ,sample space becomes 52-1=51 .

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