What Are The Odds ?

You are going to spin a perfectly balanced pointer on a wheel with five spaces numbered 1 through 5.
(See attachment)
You are going to spin for five sets of fifty.
The first set you are going to spin 50 times in an attempt to land on space #1. The second set you spin 50 times trying to land on space #2. Third set- 50 times to land on #3. Fourth set- 50 times to land on #4. And finally, you spin 50 times in an attempt to land on space #5.
In each set, you land on multiples of each number EXCEPT  for the number you are attempting to land on.  You never land on the target number in either set. 
What are the odds of this happening?

I will gladly up the bounty if your credentials merit it. I have already posed this question to ChatGPT.  I just need an answer from a human math expert. 

Probability
Baddcatt Baddcatt
9
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  • Mathe Mathe
    0

    Can you clarify this: In each set, you land on multiples of each number EXCEPT for the number you are aattempting to land on?

    • Baddcatt Baddcatt
      0

      Yes. Typo on attempting. I have now corrected it. But in the scenario, in each set of 50 spins, you never land on the target number but instead you land on the other spaces different number of times.

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Schwartstack Schwartstack
277
  • Baddcatt Baddcatt
    +1

    I like your answer, Schwartstack. And I'm impressed with your credentials. The bounty is yours. Thank you.

The answer is accepted.
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