Question: Hi, I'm working with a probability based question where there is a question like this: Probability of w happening = 0.2 -> x leads to

Hi, I'm working with a probability based question where there is a question like this:

Probability of w happening = 0.2 -> x leads to 1 happening , 2 happening , if x does not happen then 1 happens.

Probability of x happening = 0.1 -> x leads to 1 happening , 2 happening , if x does not happen then 1 happens.

Probability of y happening = 0.4 -> x leads to 2 happening , 3 happening , if x does not happen then 1 happens.

Probability of z happening = 0.3 -> x leads to 2 happening , 3 happening , if x does not happen then 1 happens.

I have calculated the unconditional and conditional probabilities of 1, 2, and 3 happening. for each of w, x, y, z. The probabilities of w,x,y,z are independent. So they do not depend on each other

I need to calculate total unconditional, and conditional probabilities of (1,2,3,4) given that one of (w,x,y,z) will occur? I'm stuck on this part, could someone help?

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