Assume that, with probability 0.8, It's going to snow and/or I'm going to stay at home; and with probability 0.7, when it snows, then I stay at home. What is the probability of being truth that I am going to stay at home?

Given the premise set ={p,q,r,s} and =(pq)r, , which of the following are the essential premise sets?

{ p , r } a n d { q , r }

O n l y { p , r }

O n l y { q , r }

{ p , q , r } { p , q , r , s}

Given the premise set ={p,q,r,s} and =(pq)r, what is the degree of essentialness of s for the argument (,)?

Given the premise set ={p,q,r,s} and =(pq)r, , what is the unweighted upper bound of the uncertainty of the conclusion , , if the probability of each element of is 0.9?

Given the premise set ={p,q,r,s} and =(pq)r, , what is the weighted upper bound of the uncertainty of the conclusion , , if the probability of each element of is 0.9? Provide your answer with 3 decimal cases.