1.A deck of cards has 52 cards. These are split evenly into 4 suits (spades and clubs that are black, and hearts and diamonds that are red) and there are 13 cards in each suit. You select one card, record what suit it is and then replace it back in deck and shuffle the deck before selecting the next card. If you select 5 cards in this manner what is the probability that fewer than 3 will be Clubs? (note: you are only use chapter 8 methods to answer this question)

2.There is a game where you are given a set of coloured balls. There are 5 green, 5 yellow and 5 red balls in a box. You must select three balls and put them into a basket together. If all three are different colours you win. If you randomly select three balls, what is the probability that you will win the game (i.e. they are all different colours)?

3.You want to get lunch but are worried that you will be late for your lecture. You find the following information on cafeteria website. The typical wait time (mean) is 25.2 minutes (variance = 6.76). To get back to lecture on time you must get your lunch within 22 minutes. i.e. What is the probability your wait will be less than 22 minutes?