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Two cards are chosen at random from a standard 52-card deck. Consider the events: A = first card is the ace of spades B =

Two cards are chosen at random from a standard 52-card deck. Consider the events: A = first card is the ace of spades B = second card is the ace of spades. Suppose the two cards are selected with replacement.

i. Are the events A and B independent? Why?

ii. Are the events A and B mutually exclusive? Why?

Now suppose the two cards are selected without replacement.

iii. Are the events A and B mutually exclusive? Why?

iv. Are the events A and B independent? Why?

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