1.How do you decide whether to approach counting problems using permutations or combinations? Also, give examples of two situations, one relevant to each approach.

2.Consider drawing one card from a standard deck of 52 cards and then drawing another card. What is the probability that the second card is the ace of spades? Does the answer depend on whether the first card was returned to the deck before the second card was drawn? Justify your answer. Please explain or give an example.

3.A friend said that he was told that the expected value of a game was $1.00, but he played twice and lost $1.50. He said he must have been told a lie. How would you respond?

4.Explain in your words why the law of large numbers does not support the gambler's fallacy.