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(2nd round) Wes is building a toy tower. He has a bag with 6 blue blocks, 6 green blocks and 6 red blocks. He picks a block out of the bag at random and places it down. He picks again, but this time placing it on top of the previous block. He repeats until his tower is 5 blocks high and then stops building. What is the probability his tower consists of exactly two colours? Answer is 65/238. [Please practise with this question because there are 3 different questions with the same core - just the final part changes. Be good at combinatorics!]
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Graduate Trader

Interviewed at Maven Securities

3.9★
Nov 24, 2020

(2nd round) Wes is building a toy tower. He has a bag with 6 blue blocks, 6 green blocks and 6 red blocks. He picks a block out of the bag at random and places it down. He picks again, but this time placing it on top of the previous block. He repeats until his tower is 5 blocks high and then stops building. What is the probability his tower consists of exactly two colours? Answer is 65/238. [Please practise with this question because there are 3 different questions with the same core - just the final part changes. Be good at combinatorics!]

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