Given X∼Binomial(n=10,p=0.4)X \sim Binomial(n=10, p=0.4)X∼Binomial(n=10,p=0.4), what is the probability of failing all trials?
0.6100.6^{10}0.610
0.4100.4^{10}0.410
1−0.6101 - 0.6^{10}1−0.610
10⋅0.610 \cdot 0.610⋅0.6