Answer to Question 1
Answer: The initial state in black jack is that you are dealt two cards. The goal state is that you want your cards to total 21 (or at least total more than the dealer). In regard to operations, you can hit, or ask for another card, hold when you do not want any more cards, and you can count an ace as either 1 or 11 points. These are the basic operations, although the game can be explained to include other moves such as doubling down, etc.
Answer to Question 2
Answer: In Clue, you need to determine who committed a murder, the instrument used to commit the deed, and the room it was committed in. Who, what, and where essentially form a rule that you are trying to determine. As you find clues, you gradually narrow down the options. This is consistent with successive scanning. Once you are reasonably sure about who, for instance, you may hold that clue constant while continuing to gather information about other parts of the rule. This is similar to focus gambling.
Space
How to solve an exponential growth problem involving bacterial growth (Question 1)
Vector Problem
Identification of the numbers in the Word Problem
Math problem
Describe the Conceptual Forecasting Framework in your own words.