The weather forecast accuracy of a certain weather station is 80%. What is the probability that exactly 3 out of 5 forecasts will be accurate?

(4/5)*(4/5)*(4/5)*(1/5)*(1/5)*C(5,2)=128/725

Explain, the probability of being accurate the first time is 4/5, the probability of being accurate the second and third times is 4/5, the probability of being inaccurate the fourth and fifth times is 1/5, and then 3 times There are C(5,2) or C(5,3) permutations that are twice accurate and inaccurate, so multiply this number