How do I start to approach these types of probability problems, /sci/? I'm not asking for the answers to the question, but rather, suggestions about approaches:
>There is a jar containing a random distribution of five types of marble - red, green, blue, clear, and square (square 'marbles' may be of any of the previous four colors, and there are 1,750 of each). The total number of marbles is 100,000, of which 50,000 are red, 20,000 are green, 15,000 are blue, 8,000 are clear, and the remaining 7,000 are square.
>The marbles are then drawn by a randomizing machine one-by-one, and the marbles are processed according to the following rules:
>1. A 'set' of draws is considered to be 10 draws. If a rule applies to a 'set' of draws, it will affect the 10 draws following the imposition of the rule.
>2. If a set begins with a red marble being drawn, the marble is placed back into the jar. If there is a successive draw with a red marble, the red marble is removed. If there is a THIRD consecutive draw with a red marble, a GREEN marble is removed. If there is a FOURTH draw of red, a RANDOM marble is removed. Fifth and further draws cycle back through the rule-set. These rules apply ACROSS sets for purposes of ongoing streaks. Red marbles drawn at other positions in the set are removed, but no more than 3 per set (otherwise they are placed back into the jar).
(part 1)
>There is a jar containing a random distribution of five types of marble - red, green, blue, clear, and square (square 'marbles' may be of any of the previous four colors, and there are 1,750 of each). The total number of marbles is 100,000, of which 50,000 are red, 20,000 are green, 15,000 are blue, 8,000 are clear, and the remaining 7,000 are square.
>The marbles are then drawn by a randomizing machine one-by-one, and the marbles are processed according to the following rules:
>1. A 'set' of draws is considered to be 10 draws. If a rule applies to a 'set' of draws, it will affect the 10 draws following the imposition of the rule.
>2. If a set begins with a red marble being drawn, the marble is placed back into the jar. If there is a successive draw with a red marble, the red marble is removed. If there is a THIRD consecutive draw with a red marble, a GREEN marble is removed. If there is a FOURTH draw of red, a RANDOM marble is removed. Fifth and further draws cycle back through the rule-set. These rules apply ACROSS sets for purposes of ongoing streaks. Red marbles drawn at other positions in the set are removed, but no more than 3 per set (otherwise they are placed back into the jar).
(part 1)
