We first of all calculate our sample size. The number of ways of generating two letter and four digits in a way that repeatition is allowed is: 26^2 x 10^4 = 676 x 10000 = 6,760,000. Therefore, there are 6,760,000 possible number combinations for the lottery.
Probability of winning the first prize = 1/6,760,000 Probability of winning the second prize is 2/6,760,000 = 1/3,380,000 Probability of winning the third prize is 10/6,760,000 = 1/676,000 Probability of winning nothing is (6,760,000 - 13)/6,760,000 = 6,759,987/6,760,000 *[there are 13 winnings in all]
Expected winning from the lottery = (1/6,760,000) x (100,000 - 0.33) + (1/3,380,000) x (50,000 - 0.33) + (1/676,000) x (1,000 - 0.33) + (6,759,987/6,760,000) x (-0.33) = 0.0148 + 0.0148 + 0.0015 - 0.3300 = -0.30
Therefore, the expected winning is a loss of 30 cents. This means that it is not worth 33 cents to enter this lottery.
When the number is inside the parenthesis. It means horizontal shift. Now negative is to the right and positive is to the left. Since it is negative 7 it would be 7 units to the right
So find how much was eaten 1/6 and 2/3=eaten add 1/6 and 2/3 convert bottom number to same 2/3=4/6 1/6+4/6=5/6 5/6 eaten 3-5/6= 2+1-5/6= 2+6/6-5/6= 2+1/6 2 and 1/6 waffles left
