How to calculate the probability that the product of two hundred dice is greater than 8000? Search process

Throw two dice with 100 faces, and one * * has100 *100 =10000 results.

The result of dice product greater than 8000 is as follows:

(1) If the first dice is 100, the second dice must be greater than 8000/ 100 = 80, and * * * has 100-80=20 squares;

(2) If the first dice is 99, the second dice must be greater than 8000/99 = 80.8 1, and there are cases of 19 * *;

...

(2 1) If the first dice is 80, the second dice must be greater than 8000/80 = 100, with 0 cases * * *;

Therefore, considering the repeated order of the dice, the possible result of * * is = (20+19+18+...+2+1+0)/2.

=(20+ 1)*20/4= 105

So the probability that the dice product is greater than 8000 =105/10000 =1.05%.