I have 100 green marbles and 100 red marbles and I can divide them up however I want between 2 bags. There has to be 1 marble in each bag, other than that no restrictions. You do not know how I divide them up or which bag you are getting. If you pick a green marble I pay you 100 dollars, If you pick a red, I pay nothing. What is a fair price for this game?
19*21
Expected Value of Dice
In the land of 10 digit numbers, what is the probability the product of the numbers ends in 5 zeros
Toss four coins up in the air with the goal of maximizing number of heads. After first toss, have the option of tossing again. What is the expected number of heads in this game?
Question 2: A chest contains a treasure that is equally likely to be worth any amount between $0 and $1,000. You may bid on the chest, but you only get it if you bid more than the value of the treasure, x. You can resell the treasure for 1.5x. What should you bid?
What is the smallest number whose digits have a product of 10,000
If two die are rolled, what is the probability that the sum is greater than 7?
If i flip 3 coins, what is the probability that at least 2 are heads?
X is uniformly distributed on [0,5]. what is E(|5-x|) if x is continous vs. discrete? Which is larger? Why?
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