Problem-22 Complete the truth table for each of these compound propositions. a) p→(¬q∨r) b) ¬p→(r→q) c) (p→q)∧(¬p→r) d) (p↔q)∨(¬q↔r) e) (¬p↔¬q)↔(q↔r) Solution a) p→(¬q∨r) p q r…
Month: March 2014
Problem-21
Problem-21 State the converse, contrapositive, and inverse of each of these conditional statements. a) If it snows tonight, then I will stay at home. b) I come to class whenever…
Problem-20
Problem-20 Let p, q, and r be the propositions p: You have the flu. q: You miss the final examination. r: You pass the course. Express each of these propositions as…
Problem-19
Problem-19 Which of these are propositions? What is the truth value of those that are propositions? a) Answer this question. b) What time is it? c) There are no black flies in…
Ludo and dices
Suppose in a game of ludo only two throws of dice are allowed. What is the most probable distance moved and what is the probability of the same? Hint:- Distance…
Compound Propositions and Truth Tables
Compound propositions: Connective Pronounced Symbol in Logic Negation NOT ¬, ~, ‘ Conjunction AND Λ Disjunction OR V Conditional if then → Biconditional if and only if Exclusive or…
Problem 18
Problem – 18 What is the probability that Bo, Colleen, Jeff, and Rohini win the first, second, third, and fourth prizes, respectively, in a drawing if 51 people enter a contest…
Problem 17
Problem – 17 Find the probability of selecting none of the correct six integers in a lottery, where the order in which these integers are selected does not matter, from…
Problem 16
Problem – 16 What is the probability that a fair die never comes up an even number when it is rolled ten times? Solution : Probability to rolled the die for…
Problem 15
Problem – 15 What is the probability that a five-card poker hand contains the three of hearts, the two of clubs and the jack of diamonds? Solution : For first three cards…
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