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Probabilistic problem
A factory produces 100 products every day, and 10 products are packed in ten identical boxes. * * * There are two ways:

C( 100, 10)+C(90, 10)+.。 . +C( 10, 10)

1, the probability of randomly selecting a box from ten boxes, including two defective products.

The method of randomly selecting a box from ten boxes is,

[C( 100, 10)+C(90, 10)+.。 . +C( 10, 10)]*C( 10, 1)

The probability of containing two defective products

=C(98,8)*C(2,2)/{[C( 100, 10)+C(90, 10)+.。 . +C( 10, 10)]*C( 10, 1)}

2. The probability that two defective products are packed in the same box in one day.

The first defective product scored 10, the first product scored 10, and * * scored 10 = 100.

Two defective products are packed in one box, because there are 10 boxes, so there are 10 possibilities, so

Probability of two defective products in the same box =10/(10 *10) =110.