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2)Three cards are drawn at random from a standard deck without replacement. What is the probability that all three cards are hearts?

3)Three cards are drawn at random from a standard deck with replacement. What is the probability that exactly two of the three cards are red?

4)Three cards are drawn at random from a standard deck without replacement. What is the probability that exactly two of the three cards are red?

5)Three cards are drawn at random from a standard deck with replacement. What is the probability that at least two of the three cards are red?

I am having trouble finding the correct answer when I am having to do the math to figure out the with replacement and without replacement. And I also don't understand the difference in the math I need to do to figure out the exactly two of the three cars and the at least two cards.

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    Can you show us what you have written?2012-11-12
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    For number 2 i figured you would do 13/26 x 12/25 x 11/242012-11-12
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    and then for number 3 I thought youd just do 13/26x13/26x13/26 since you are replacing the card each time2012-11-12
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    where are you getting the 26, 25, 24 for number 2? There are 52 cards in the deck, and there are 13 hearts. Therefore, the probability of drawing a heart on the first draw is $\frac{13}{52}$.2012-11-12

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