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Let X be the random variable 'number of bacterial colonies in a sample'.
X ~ Poisson($\displaystyle \lambda = 2$).
Calculate $\displaystyle p = \Pr(X \geq 1) = 1 - \Pr(X = 0)$.
Let Y be the random variable 'number of samples that have at least 1 bacterial colony in them'.
Y ~ Binomial(n = 4, p = see above).
Calculate $\displaystyle \Pr(Y \geq 1) = 1 - \Pr(Y = 0)$.