World Logic Day 2024

 January 14^th is World Logic Day, the perfect day to test how logical a chatbot like ChatGPT is right?

This is the question I asked,

"Each side, including the lid, of a cubic steel box has a surface area of 2500 cm². Twenty coloured balls are placed in the open box. There are twice as many red balls as blue balls inside the box before the lid is welded shut. What is the probability of removing a red ball from the box?"

What is the logical answer to this question? If you are a human being, the logical answer is 0% because if it is a cube and all the sides (including the lid) have the same surface area then there is no hole on any side to withdraw a ball, so when the lid is welded shut you cannot remove a ball.

What is the answer if you are a chatbot? 

This was ChatGPT's response (no additional comments from me, the chatbot's approach is already hysterically funny)...

"Given that each side, including the lid, has a surface area of 2500 cm², and there are 6 sides in total, the total surface area (SA) is given by:
SA = 6 x side²

Since SA = 2500 cm², we can set up the equation:

2500 = 6 x side²

Solving for the side length (side):

(side)² = 2500/6

(side)² = 1250/3

(side) = √1250/3

Now that we have the side length, we can find the volume ( V ) of the cubic steel box:

V = (side)³

V = (√1250/3)³

Now, assuming there are twice as many red balls ( R ) as blue balls ( B ), we have   R = 2B .

The probability ( P ) of removing a red ball from the box is given by:

P(Red) = Number of Red Balls/Total Number of Balls

P(Red) = R/(R + B)

Substitute ( R = 2B ) into the equation:

P(Red) = 2B/(2B + B}

P(Red) = 2B/3B

P(Red) = 2/3

Therefore, the probability of removing a red ball from the box is 2/3." 

Logical? 

Maybe not, but it does share some similar characteristics with typical student responses (pre chatbots), that is, 

a) Ignore the question and just start doing some random calculations until you arrive at some kind of answer.

b) Ignore units.

c)  Never, ever, under any circumstances check your answer to see if it makes any sense.

ChatGPT score 0% (which is apparently equal to 2/3).