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**matura exam results wrong !? (probabiltity of shooting the target)**

Hello!

I got one task that I seem to solved it correctly. But the matura exam results are different then my solution.

Here is the task:

There is one

**target**which is divided on three concentric zones. Here is picture of it:

So the whole target is not the center of the darts, but the whole surface of the darts.

The task is to find the probability that the target will be missed by all of the shooters.

I find it like:

A - the Ist shooter hits the target

B - the IInd shooter hits the target

C- the IIIrd shooter hits the target

[tex]P(\bar{A} \cap \bar{B} \cap \bar{C}) = P(\bar{A})*P(\bar{B})*P(\bar{C})=(1-0,16)*(1-0,24)*(1-0,17)[/tex]

And their solution is 1- P(A U B U C) which they wrote it like 1 - (P(A)+P(B)+P(C)).

Which solution is correct?

Mine or theirs?

Thanks in advance.