Skip to main content
All Questions

Two players reveal coins: both heads you win 3, both tails you win 1, a mismatch you lose 2. What is your best strategy and expected profit?

Unlock detailed company stats for this questionUpgrade
You and an opponent each secretly choose heads or tails and reveal together. If both show heads you win 3; if both show tails you win 1; if they differ you lose 2. Find your best strategy and your expected profit.

Community answers

No answers contributed by the community yet.

Related questions

You flip four fair coins and win $1 per head, and may re-flip a single coin of your choice. Playing rationally, what is your expected profit?Flip four fair coins and win $1 for each head. You may flip the tails again once. What is the expected value of the game?You double your bet after every loss on a fair coin, starting at $1 and stopping at the first win, with a $63 bankroll. What is your expected profit?

Related courses

Course

SQL Interview Prep Course

Prepare for SQL interviews with lessons on joins, aggregations, and window functions, then practice real SQL interview questions in an interactive editor with expert solutions.

Course

Data Science Interview Prep

Land your dream data science role at Google, Amazon, Microsoft, Meta, Apple, and other top companies. Learn from mock interviews, frameworks, and advice from senior candidates. Practice statistics, experimentation, coding, SQL, machine learning, behavioral interviews, and more.