There are 10 products in three grades, including 4 first-class products, 3 second-class products and 3 third-class products. If any 2 products are selected from 10 products, the probability of taking out 2 products of the same grade is 0______ .

There are 10 products in three grades, including 4 first-class products, 3 second-class products and 3 third-class products. If any 2 products are selected from 10 products, the probability of taking out 2 products of the same grade is 0______ .

The total number of events of two products taken out is C102 = 45, and the number of events of two products with the same time is C42 + C32 + C32 = 12. The probability of two products taken out with the same time is 1245 = 415, so the answer is: 415