### ninetailfox's blog

By ninetailfox, history, 9 months ago, ,

Recently i was looking at editorial for 992C(Nastya and wardrobe problem) and i am bit confused with the notions of expected value, even i have gone through wikipedia but still not satisfied. Please elaborate difference between expected value and average, if it is there ?? Thank you!

 » 9 months ago, # | ← Rev. 3 →   +2 I think expected value here is equal to the mean because at each step the probability is becoming half (and equal for each value). i.e. for 3 and 2 (3rd example explanation),after 1st month, the probability of 6=50% and 5=50% (the probability is same for the values)after 2nd month, the probability of 12=25% , 11=25%, 10=25%, 9=25% (the probability is same for the values) hence here we can take mean directly (taking 25% as common)and after 3rd month , we just double itAt each step the probability remains same. So, its synonymous in this case. This is what I thought of ,maybe someone else will come and explain better :)
•  » » 9 months ago, # ^ |   0 thank you sir!!
»
9 months ago, # |
0

Expected Value = sigma ( (probability of occurrence of S event) * (answer if S event occur ) ) / 1

In this case, the probability is same for every possible case to happen. So expected value is just EV = ( sigma answer(i) ) / #totalCases

# totalCases are divided for probability.

** use modulus arithmetic for operations.