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)=

=

b)P(he will accept all three)=

=

c)P(at least 1 accepted)=

=

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