In a non-standard deck of cards there are
- 20 blue cards (numbered 1 through 20),
- 20 green cards (numbered 1 through 20), and
20 red cards (numbered 1 through 20)
Four cards are dealt without replacement from this deck.
- What is the probability that exactly two of the four cards dealt are blue?
- Given that at least one of the first two cards dealt is blue, what is the probability that exactly three of the four cards dealt are blue?
- What is the probability that at least two of the four cards dealt have the same numeric value (1 through 20)?