​Let x ~ Binomial (5,0.6) and Y ~ Poisson (2) be independent. Then P(xy = 0) equals:

1
e-2. (0.4)5
2
e-2 + (0.4)5
3
e-2 + (0.4)5 - e-2. (0.4)5
4
e-2 + (0.6)5 + (1 - e-2) (0.4)5

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