So we can start with the full of possibilities and eliminate them one by one.
The full set is {0,1,2,3,4,5,6,7,8,9}.
Now we know that any prime greater than 2 is odd as otherwise it would have 2 as a factor, so we can eliminate all of these digits that would be an even number, leaving:
{1,3,5,7,9}
We also know that any prime greater than 5 cannot be a multiple of 5 and that all numbers with 5 in the digits are a multiple of 5, so we can eliminate 5.
{1,3,7,9}
We know that 11,13,17 and 19 are all primes, so we cannot eliminate any more of these, leaving the set:
Answer: 40G+8D ≤ 80; D must be at least 2 as stated in problem and can be up to 10, and you can have a maximum of 1 game book depending on how many dice sets you get (if you get more than 5 dice sets you cannot have any game books).
Step-by-step explanation: Since gaming books cost $40 so $40G for the amount of money spent and since sets of dice cost $8 so 8D for the money spent. Since the money spent must be less than or equal to 80 we put symbol at end.
The states of nature refer to future events, not under the control of the decision maker, which may occur. States of nature should be defined so that they are mutually exclusive and collectively exhaustive.
