Problem Statement
In The California Super Lotto problem we had to figure out these three questions
1) How many different number combinations are possible for a CA Super Lotto problem 2) What is the probability of winning the CA Super Lotto? 3) If you match all 6 numbers, you win $8,000,000. It costs $1 to play. What are your expected winnings? These 3 questions really pushed my thinking and challenged me. For the first question my partner and I at first multiplied 1/47 . 1/46 . 1/45 . 1/44 . 1/43 = 184,072,680 because there is 5 numbers through 1-47 you can pick in the super lotto ticket without counting the MEGA number which you can pick numbers through 1-27. The reason we multiplied 47,46,45... is because there is 47 numbers you can choose and you dont want to double count some of the numbers so you go up to 43 because theres is 5 numbers. Its so much information but stay with me ! But we were wrong! After all the talking and trying to figure it out we realized that we had been doing it wrong. Then we got informed that we had to multiply 5 . 4 . 3 . 2 . 1 =120 because it is the possible tickets that they can win. After one of my peers helped me out and told me that you had to include the mega number as well so that ends up looking like 47 . 46 . 45 . 44 . 43 . 27 Why 27 ? Because there is 27 possibilities for the MEGA number. So the possible combinations for the CA Super Lotto are 4,969,962,360! Thats a lot ! For the second question at first we just searched the answer up and that gave us 1 out of 42 million but then I saw our classmates work and then I started questioning my work and how they got that answer so I started connecting the dots and asking for help. Then after talking to my table mates we soon came up with the solution and we divided 120/4,969,962,360 and that gave us 0.000000024 so the probability of winning the CA super lotto is 1 out of 0.000000024 The third problem was the most challenging because it was a long process in order to get the answer. I multiplied the money you earn if you win by the probability of winning and then we had to add it to the total amount of money to the probability of you loosing. Our final answer ended up being -18 cents. Problem Evaluation This problem was definitely tricky it pushed my thinking alot. It made me question every move I made of every number I punched into the calculator. It made me actually think and I wanted to find the answers. Self Evaluation If I were to grade myself I would give myself and A because at the beginning I would get off task and I wouldn't actually push myself to think harder but this past week I have been questioning everything and have not been afraid to ask questions when I don't understand why we did something the way we did. I pushed myself this week to understand this crazy complicated problem and i'm proud myself ! (: Peers Edits
My partner gave me feedback and it helped me improved my write-up |