You have are offered a contract on a piece of land which is worth 1000000 70% of the time, 500000 20% percent of the time and 150000 10% of the time. The contract says you can pay x dollars for someone to determine the land's value from where you can decide whether or not to pay 300000 for the land. What is x? I.e. how much is this contract worth?
Expected value of heads and tails of two coin flips -> E(t(10-t) = 10E(t) - E(t^2) = 50 - (25 + 10/4) = 22.5 What is the set of numbers between 2 and 30, without the same common factor (e.g. 26 and 24 share 2, so they cannot be in the same set) that will you give you a max sum? Using the same rules, what is the highest possible number you can have in a set of 1000?
Toss 4 coins - probability of more than 2 heads - expected winnings if $1 for each heads - expected winnings if can re-toss 1 coin if chosen 1 20 sided die - player A and B both choose a number. Whoever's number closest to value of the die wins the amount on the die. - optimal strategy? do you want to go first? - what is the expected winnings?
roll a 30-sided die (Number 1-30) many times and add all up the outcomes. stop rolling when the sum >= 300. what's the most likely result of the sum?
3 pancake. one is with both sides burned, one is with one side burned, the last one with no sides burned. Combined them in a plate. The top side is burned. what is the probability of the other side is burned?
I have a square, and place three dots along the 4 edges at random. (1) What is the probability that the dots, when connected, do not form a triangle? (2) what is the probability that the dots lie on distinct edges?
What is the square root of .01?
What is a chance of lining up all 6 people sitting in a circular table in the order of their birthdays?
If there is an 84% chance of an event happening in an hour, what is the probability that it happens in half an hour?
How many digits in (100)^10 Strategy for winning one dollar for every heads in 100 throws of coin toss. What question would you ask if you could ask one question to the person who knows the entire seq of the 100 coin tosses
Viewing 11 - 20 interview questions