3. Imagine that you are playing a dice-rolling game, and you win a prize if you roll a 6. You only get 1 roll, but you do get a choice. You can either roll 1 die and use that single value, or you can roll 2 dice and take the sum. Which option (and why) should you choose to maximize the probablilty of rolling a 6?
4. A pair of numbers has the properties that their greatest common factor is 6 and their least common multiple is 60. What are the possible pairs?