The weekend challenges can be solved without wasting points until Monday 11:59:59pm (CET). For more information see the rules of the game.
Enjoy the puzzle!
Project: 4TU.AMI
Challenge:
The probability frog Frederick jumps around on the integers. At 8 am, he starts on the number +100 and makes a jump every second. Fredrick prefers to jump to the left (to the smaller numbers) than to the right (to the larger numbers): with probability 1/3 he jumps from his current position f to f+1, with probability 2/3 he jumps to f-1. In the course of the day, Frederick reaches the number 0 and ends his journey.
The probability toad Topanga also jumps around on the integers. At 8 am she starts on the number -100 and makes a jump every second. Just like Frederick, Topanga prefers to jump to the left rather than to the right: with probability 1/3 she jumps from her current position k to k+1 respectively, with probability 2/3 she jumps to k-1. In the course of the day (but not in the same second as Frederick) Topanga reaches the number 0 and ends her journey.
With p we denote the probability that Frederick reached the number 0 only after Topanga.
Which of the following statements about p is true?
Artwork: Julia Nurit SchÃ¶nnagel
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Possible answers: