The mathematical solution is as follows:
The first two people buy refrigerators in four situations: one, one, two, two, two. Find the sum of the probabilities of the third party buying the first-class products in four cases.
1 1: 7/ 10 * 6/9 * 5/8 = 2 10/720
One, two: 7/10 * 3/9 * 6/8 =126/720
2 1: 3/ 10 * 7/9 * 6/8 = 126/720
22: 3/ 10 * 2/9 * 7/8 = 42/720
Sum of the four: 210/720+126/720+126/720+42/720 = 504/720 = 7/10.