Correlated news

Two outlets report "tanker attacked near Hormuz". The second is a rewrite of the first wire story. (a) Compute the posterior a naive analyst gets by treating them as independent, using likelihoods $(0.2,0.6,0.9)$ twice. (b) Compute the correct posterior. (c) Generalise: if the second report is a copy with probability $c$ and an independent observation with probability $1-c$, derive its likelihood vector given the first. (d) Why is this the most common error in reading geopolitical news?