Bag with 100 coins. One of them is double headed, the rest are fair. You flip it n times and get n heads. What would your intuition be on whether you have the double headed coin or not? What would the probability be that you have the double headed coin be as n goes to infinity? How many flips would it take for you to be 50% sure? You flip it seven times, what is the probability you have the double headed coin?
What do you usually do beside studying Mathematics?
A deck of 18 custom playing cards is numbered from 1 to 18. A card is drawn 6 times with replacement. If X is the number of draws that result in a prime number, what is E(X)?
Two points are uniformly distributed around the circumference of a unit circle. What is the expected value of the distance between them?
How many ways are there to place number 1 to 6 on a dice ?
Correlation among a few random variables
If today is Good Day, on average, how many days do we have to wait until the next “Bad” Day?
A frog is traveling from point A(0,0) to point B(4,6) but each step can only be 1 unit up or 1 unit to the right. Additionally, the frog refuses to move three steps in the same direction consecutively. Compute the number of ways the frog can move from A to B.
how do you know about SIG? why do you apply?
None really.
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