Question 540771: 1.A card is chosen randomly from a standard deck, recorded, and not replaced. A second card is then drawn and recorded. Consider the two events below:
A = first card is an ace of spades
B = second card is an ace of spades
(a) Are A and B independent events? Why?
(b) Are these events mutually exclusive? Why?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 1.A card is chosen randomly from a standard deck, recorded, and not replaced.
A second card is then drawn and recorded. Consider the two events below:
A = first card is an ace of spades
B = second card is an ace of spades
(a) Are A and B independent events? Why?
No they are not independent. If the ace of spades is drawn on the 1st
selection it cannot be drawn on the 2nd selection.
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(b) Are these events mutually exclusive? Why?
Yes, because p(ace of spades AND ace of spades) = 0
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Cheers,
Stan H.
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