Answer
0.583. The tendency is that the whole batch will be accepted. Hence the scheme is likely to no serve its purpose.
Work Step by Step
Events are dependent, if the outcome of one effects the outcome of the other. Here the events are dependent, because the sampling was done without replacement. $P(A \cap B)=P(A)\cdot P(B|A)$. Hence $P(A \cap B)=\frac{708}{810}\cdot\frac{707}{809}\cdot\frac{706}{808}\cdot\frac{705}{807}=0.583>0.05.$ The tendency is that the whole batch will be accepted. Hence the scheme is likely to no serve its purpose.