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concepts of odds and probabilities

Show your work here: (15 points)6. At AIU, the following hypothetical propositions, p and q, are typically found to be true:p: I redo my previous unit’s intellipath nodes.q: I improve my overall score.Write out the conditional statement as a symbolic sentence.English SentenceSymbolic SentenceIf I redo my previous unit’s Intellipath nodes, then I improve my overall score.?Write out the conditional statement as a symbolic sentence.English SentenceSymbolic SentenceIf my overall score did not improve, then I did not redo my previous unit’s intellipath nodes.?Are these two symbolic sentences logically equivalent? Why, or why not? (15 points)7. The following hypothetical propositions, p and q, pertain strictly to Student #12 only.p: They score 70 points on the Unit 5 Submission Assignment.q: They will earn an 80% grade in the class.Write out the conditional statement p → qas an English sentence.Symbolic SentenceEnglish Sentencep → q?Write out the conditional statement q → p as an English sentence.Symbolic SentenceEnglish Sentenceq → p?Are these two English sentences logically equivalent? Why, or why not? (15 points)8. Fill out the following truth table to determine the possible outcomes for the compound statement ~ q  p(15 points)pq~ q~ q  pTT??TF??FT??FF??Is this compound statement a tautology (T), fallacy (F), or neither?