You and a friend are playing a game where a random number X, between 1 to 20 is chosen, and one of you will pick a number and then the other will pick a different number. The one that guesses the closer number wins X dollars. Should you choose to go first, and what number should you choose?
Toss a fair coin between two people. If it end with HHT, A wins the game. If it ends with HTT, B wins the game. Whats the probability of A wining the game.
What is the probability of getting a sum of 10 if you roll three dice?
How many ways are there to partition 20 into prime numbers?
If there is an 84% chance of an event happening in an hour, what is the probability that it happens in half an hour?
What is the last digit in the solution to 3^33?
If two equally talented teams are playing in the world series, what's the probability the series goes seven games?
You flip 4 fair coins and get x dollars where x is the number of heads squared. What are your expected winnings?
You roll a regular dice. if you roll a even number, for every $2 you bet, you get $3. If you roll a odd number, for every $4 you bet, you get $6. What's your expected return and how should you bet?
How many digits are there in 2^50?
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