10 island in a line. Two bridges between two consecutive island. one is okay, one is broken. If you take the broken bridge, you will falls into water and taken back to the start. start from the first island,find the expected number of time u cross the non-broken bridges when you reach the end.
Is a knight's tour possible on a 4x4? Prove.
X_1, X_2, ..., X_N are N random variables drawn from Uniform distribution on [0, 1]. What is the probability of the average of X is greater than 1?
Everything related to basic accounts. Questions on P&L and Balance Sheet.
Talked about the research background
Let a rope of unit length is cut into n pieces. What is the expected length of the smallest piece?
You are given 2 eggs. * You have access to a 100-storey building. * Eggs can be very hard or very fragile means it may break if dropped from the first floor or may not even break if dropped from 100 th floor.Both eggs are identical. * You need to figure out the highest floor of a 100-storey building an egg can be dropped without breaking. * Now the question is how many drops you need to make. You are allowed to break 2 eggs in the process
You are playing a game and the probability of winning is 0.6. Would you rather play best of 3, or play until someone is ahead by 2 points?
Robot wakes up every morning and does one of the following things with equal (1/4) probability: 1) self-destroys; 2) does nothing; 3) clones himself (so you have 2 robots); 4) clones himself two times (so you have 3 robots). If you have one robot at the start of the first day, what is the probability that, eventually, you will have no robots?
V~U[0,1]. Make a bet B, for V, and will be awarded 1,5 times V if B>V, otherwise your bet is worthless - you do not lose anything as well. What is your bet?
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