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3) Two cards are drawn from deck, with replacement. (This means that one person chooses a...

3) Two cards are drawn from deck, with replacement. (This means that one person chooses a card,looks at it and returns it, and then another person chooses a card, looks at it, and returns it.) What is the probability that ...

(a) ... the first card is an ace and the second card is black?

(b) ... both cards are spades?

(c) ... neither card has a value from {2, 3, 4, 5}?(d) ... at least one card is an ace?

(e) ... the first card is an ace or the second card is black?

(4) An urn contains 7 red marbles labeled {1,2,3,4,5,6,7} and 5 green marbles labeled {1,2,3,4,5}.Four marbles are pulled out at once (i.e. with no particular order). What is the probability that ...

(a) ... all four marbles are red?

(b) ... more of the marbles are green than red?

(c) ... both red and green marbles are present?

(d) ... two of the marbles chosen are both labeled "5"?

Math   Statistics-And-Probability   
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