Suppose we have an urn containing 320 objects. We are going to sample a single o
ID: 3012970 • Letter: S
Question
Suppose we have an urn containing 320 objects. We are going to sample a single object o at random from the urn. Consider the following three statements: B = o is black. (not B = o is white). M = o is metal. (not M = o is plastic). S = o is a sphere. (not S = o is a cube). Assume that these three properties are distributed according to the following probabilistic truth-table. What is Pr(B rightarrow S)? What is Pr((B logicaland M) rightarrow S)? Is the argument B therefore S inductively strong according to Proposal 1? Is the argument B therefore S inductively strong according to Proposal 2? Is the argument B therefore S inductively strong according to Proposal 3? Is the argument B logicaland M therefore S inductively strong according to Propsal 1? Is the argument B logicaland M therefore S inductively strong according to Propsal 2? Is the argument B logicaland M therefore S inductively strong according to Propsal 3?Explanation / Answer
Answer of question (4)
Here B--> S is true in all cases, except when B is true and S is false because in that case, B->S is false and we here need the probability of truth. Thus
Pr(B-->S) =P(w1)+p(w3)+p(w5)+p(w6)+p(w7)+p(w8)
= 3/160 + 21/160 + 47/320 + 33/320 + 111/320 + 33/320
=(6+42+47+33+111+33)/320
=272/320 = 17/20
that is last answer.