The co$t of soccer balls

A box contains 11 soccer balls.

Three cost 40$ each, four cost 80$ each and another 4 cost 150$ each.

Three soccer balls are randomly chosen from the box without replacement.

What is the probability that the total cost of the three balls is 300$ or more?

The probability can be expressed as a/b for co-prime positive integers a and b, find the value of a+b.


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