In: Statistics and Probability
1. Ross shuffles a deck of cards. what is the probability that the queen of hearts is the top card or the jack of spades is the bottom card of the deck?
2. Lindsey has ten PAIRS of shoes in her closet, each being a different brand. If she randomly picks 5 SHOES without replacement, what's the probability she will have one or more matching pairs?
3. A bag contains 100 bills 80 of which are authentic bills and 20 of which are fake. Bills are drawn randomly without replacement. What's the probability that exactly two fake bills are drawn before the third authentic bill is drawn?
4. There are n people in a room. Each takes their shoes off and puts them in a urn. if each person then selects two random shoes without replacement from the urn, what's the probability everyone has their own shoes?