The probability of being dealt two pairs in a five card

Question

1. The probability of being dealt two pairs in a five card poker hand is 0.0475. What are the odds of being dealt two pairs?
2. Three fair coins are flipped. Outcomes in the sample space are represented by strings such as HHT, HTH, and TTT.
   1. List all of the elements in the sample space.
   2. Express the event "there is at least one head, but no more than two heads" as a set. Show each of the possible combinations.
   3. What is the probability that there is at least one head rolled, but no more than two heads?
3. Four cards are chosen from a 52-card deck. What is the probability that four cards are either face cards or aces? There are 12 face cards and four aces in a deck of cards.