Each day the price of a particular stock rises or falls, the probability of the price up is 3/4 and 1/4 the probability that the price down , What is the probability that in six days the action back to its original price ? . help I calculate the propabilities for the two cases, I optain the probability of $(3/4)^6$ when the action up, and $(1/4)^6$ when the action it's down but I don´t understand how to calculate the part when the price backs to it's original value, any help will be appreciated
2026-03-30 11:39:31.1774870771
Probability of that an action unit backs to it's original price in 6 days
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$$\binom63\cdot\left(\frac14\right)^{3}\cdot\left(1-\frac14\right)^{6-3}$$