Traditional Culture Encyclopedia - Weather inquiry - The weather forecast accuracy of a weather station is 80%. What is the probability that three-fifths of the predictions are accurate?

The weather forecast accuracy of a weather station is 80%. What is the probability that three-fifths of the predictions are accurate?

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

Explain that the first accurate probability is 4/5, the second and third accurate probability is 4/5, the fourth and fifth inaccurate probability is 1/5, and then the third accurate and second inaccurate arrangement number is c (5,2) or c (5,3), so multiply this number.