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Hard Logic Probability Puzzle

Hard Logic Probabilty Puzzle Solution - 11 July

Bruna was first to arrive at a 100 seat theater.
She forgot her seat number and picks a random seat for herself.

After this, every single person who get to the theater sits on his seat if its available else chooses any available seat at random.
Neymar is last to enter the theater and 99 seats were occupied.

Whats the probability what Neymar gets to sit in his own seat ?

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Solution
1/2

one of two is the possibility
1. If any of the first 99 people sit in neymar seat, neymar will not get to sit in his own seat.
2. If any of the first 99 people sit in Bruna's seat, neymar will get to sit in his seat.