A simplified model for the movement of the price of a stock supposes that on each day the stocks price changes and it either moves up 1 unit with probability S or moves down 1 unit with probability 1 " S. The changes on different days are assumed to be independent.
L. What is the probability that after 2 days the stock will be at its original price?
LL. What is the probability that after 3 days the stocks price will have increased by 1 unit?
LLL. Given that after 3 days the stocks price has increased by 1 unit, what is the probability that it went up on the first day?
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