I have a vector of different probabilities to get 1, for example
probs = [0.1, 0.5, 0.2, 0.9, 0.25, 0.55] I have to calculate the probability of having at least four ones.
Straightforward way to calculate this is to calculte the prob of having zero ones, one ones, two ones, three ones, sum these probabilities and then subtract this sum from one. The problem is that calculation of exactly n ones is very consuming(because of available combinations), especially, when the length of the vector is about 35 and I have to calculate at least 18 ones.
Are there any ways to calculate approximate probability for such cases?