Attempt for a and b are fine. However c is wrong!!! require help for part C

There are three cartons of vases, each containing 8 good vases and 2 defective ones. A buyer selects 2 vases at random from each carton to check. If both vases selected from a carton are good, he will accept the carton: otherwise, he will reject the carton. Find the probability that

(a) he will accept a carton.

(b) he will accept all three cartons.

(c) he will accept at least one carton.

Attempt

a) P(he will accept a carton)=$\displaystyle [\frac{8}{10}][\frac{7}{9}$

=$\displaystyle \frac{28}{45}$

b)P(he will accept all three)=$\displaystyle [\frac{28}{45}]^3$

=$\displaystyle \frac{21952}{91125}$

c)P(at least 1 accepted)=$\displaystyle 1-P(he will not accept any)$

=$\displaystyle 1-(\frac{2}{10}\times\frac{1}{9})^3$

=$\displaystyle 0.999$