(Rolling of a pair of dice) : Suppose your teacher challenges you to the following guessing game: She would throw a pair of dice. Before that you need to guess the sum of the numbers that show up on the dice. For every correct answer, you get two points and for every wrong guess you lose two points. Whal numbers would be the best guess?
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Following table shows the points of each player scored in four games: Now answer the following questions: To find the mean number of points per game for C, would you divide the total points by 3 or by 4? Why?
Consider the following situation. A problem, dating back to the early 13th century, posed by Leonardo Fibonacci asks how many rabbits you would have if you started with just two and let them reproduce. Assume that a pair of rabbits produces a pair of offspring each month and that each pair of rabbits produces their first offspring at the age of 2 months. Month by month the number of pairs of rabbits is given by the sum of the rabbits in the two proceeding months, except for the 0th and the Ist months. After just 16 months, you have nearly 1600 pairs of rabbits !