i want a solution for this question
The number of goals scored at State College hockey games follows a Poisson distribution with a mean of 3 goals per game. Find the probability that each of four randomly selected State College hockey games resulted in six goals being scored.
i tried this solution but the answer should be 0.00000546
$\text{mean} = m,\qquad P[x] = \frac{e^{-m} m^x}{x!}$ $ m = 3,\qquad P[6] = \frac{e^{-3} 3^6}{6!} ≈ 0.0504$ $n = 4,\qquad p = 0.0504$ $\Pr = 0.0504^4 ≈ 6.4524\times 10^{-6}$