Software Development Interview Questions

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Problem: Say you are playing a game where after each round there’s three options. You can either score 0,1 or 2 points. The probability of scoring 0 points is 50%, the probability of scoring 1 point is 30% and the probability of scoring 2 points is 20%. Part 1: What’s the probability of each possible score after 5 rounds? Given the probabilities of scoring each point as follows: P[0] = .5 P[1] = .3 P[2] = .2 Part 2: Give the top 10 most likely scores after N rounds. Part 3: Give the top 10 most likely scores for any probability distribution.
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Software Development Intern

Interviewed at athenahealth

4.1
Mar 10, 2016

Problem: Say you are playing a game where after each round there’s three options. You can either score 0,1 or 2 points. The probability of scoring 0 points is 50%, the probability of scoring 1 point is 30% and the probability of scoring 2 points is 20%. Part 1: What’s the probability of each possible score after 5 rounds? Given the probabilities of scoring each point as follows: P[0] = .5 P[1] = .3 P[2] = .2 Part 2: Give the top 10 most likely scores after N rounds. Part 3: Give the top 10 most likely scores for any probability distribution.

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