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New on YouTube: This HRT Quant Interview Question Has a One-Line Answer - Watch now

⚡ Build the skills to land top-paying quant jobs. Offer ends in 25d 09h 49m 14s25 days 9 hours 49 minutes 14 seconds.

At a carnival you play three independent games at the same time:

You roll a fair 8-sided die with faces numbered 1 to 8.
You spin a prize wheel with 40 equal sectors: 36 sectors are numbered 1 to 36 and the other 4 are blank.
You draw one tile from a bag of 60 tiles: the tiles are numbered 1 to 15, with 4 identical copies of each number.

What is the probability that the die, the wheel and the tile all show the same number? Give the exact value as a fraction.

At a carnival you play three independent games at the same time:

You roll a fair 8-sided die with faces numbered 1 to 8.
You spin a prize wheel with 40 equal sectors: 36 sectors are numbered 1 to 36 and the other 4 are blank.
You draw one tile from a bag of 60 tiles: the tiles are numbered 1 to 15, with 4 identical copies of each number.

What is the probability that the die, the wheel and the tile all show the same number? Give the exact value as a fraction.