AI mathematically proves that there is 99% chance God exists

I asked AI:

"If there are two Gods and each have 50% chance to exist and each of them occupy 50% of all space, then if I have 4 boxes in my room, what are the chances of at least one box containing one of those two Gods?"

AI answer. Just skip to the answer at the end.

Let's break this down step by step using probabilities:

Given: Two Gods (A and B). Each has a 50% chance to exist independently. If they exist, each occupies 50% of all space (not necessarily mutually exclusive). There are 4 boxes in your room. 

You want the probability that at least one of the 4 boxes contains one of the two Gods.

Step 1: Enumerate possible existence scenarios: 

There are 3 relevant possibilities:

Neither A nor B exists: Probability = 0.5 × 0.5 = 0.25 Only A exists: Probability = 0.5 × 0.5 = 0.25 Only B exists: Probability = 0.5 × 0.5 = 0.25 Both A and B exist: Probability = 0.5 × 0.5 = 0.25 Step 2: For each existence case, compute the chance that none of the 4 boxes contain a God. 

Let’s assume "occupies 50% of all space" means randomly distributed and independently from the boxes.

For any existing God, the chance that one box does not contain them = 50%

So, for 4 boxes: chance that none of the boxes contain the God = 

Now compute for each case:

Case 1: Neither exists Probability = 0.25 Then none of the boxes can contain a God: certainly 0 boxes have Gods Case 2: Only A exists Probability = 0.25 Chance that none of the 4 boxes contain A = 0.0625 So, chance at least one box contains A = 1 - 0.0625 = 0.9375 Case 3: Only B exists Same as above: Probability = 0.25, chance at least one box contains B = 0.9375 Case 4: Both A and B exist Probability = 0.25 For each box: chance that it does not contain A or B = 0.5 (miss A) × 0.5 (miss B) = 0.25 So for 4 boxes: chance none of them contain A or B = So, chance at least one box has A or B = 1 - 0.00390625 = 0.99609375 Step 3: Combine all cases P(\text{at least one box has a God}) = (0.25 \times 0) + (0.25 \times 0.9375) + (0.25 \times 0.9375) + (0.25 \times 0.99609375) = 0 + 0.234375 + 0.234375 + 0.2490234375 = \boxed{0.7177734375} Final Answer: 

To find the probability that at least one of the three Gods exists, when each has a 50% chance of existing independently, you can use the complement rule.

Step-by-step:

Final Answer:

87.5% chance that at least one of the three Gods exists.