\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Weather forecasts indicate that on any given day in June, there is a 30\(\pourcent\) chance of rain. Over a week (7 days), the random variable \(X\) represents the number of rainy days. Find the probability that exactly 4 days are rainy (round to three decimal places).
\(P(\text{"4 rainy days"}) \approx\)