// Numbas version: finer_feedback_settings
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"1", "showCorrectAnswer": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "marks": 1, "type": "patternmatch"}, {"displayAnswer": "1", "answer": "1", "showCorrectAnswer": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "marks": 1, "type": "patternmatch"}, {"displayAnswer": "1", "answer": "1", "showCorrectAnswer": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "marks": 1, "type": "patternmatch"}, {"displayAnswer": "1", "answer": "1", "showCorrectAnswer": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "marks": 1, "type": "patternmatch"}, {"displayAnswer": "1", "answer": "1", "showCorrectAnswer": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "marks": 1, "type": "patternmatch"}, {"displayAnswer": "1", "answer": "1", "showCorrectAnswer": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "marks": 1, "type": "patternmatch"}, {"displayAnswer": "0", "answer": "0", "showCorrectAnswer": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "marks": 1, "type": "patternmatch"}, {"displayAnswer": "1", "answer": "1", "showCorrectAnswer": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "marks": 1, "type": "patternmatch"}, {"displayAnswer": "0", "answer": "0", "showCorrectAnswer": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "marks": 1, "type": "patternmatch"}, {"displayAnswer": "1", "answer": "1", "showCorrectAnswer": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "marks": 1, "type": "patternmatch"}, {"displayAnswer": "1", "answer": "1", "showCorrectAnswer": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "marks": 1, "type": "patternmatch"}, {"displayAnswer": "1", "answer": "1", "showCorrectAnswer": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "marks": 1, "type": "patternmatch"}, {"displayAnswer": "1", "answer": "1", "showCorrectAnswer": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "marks": 1, "type": "patternmatch"}, {"displayAnswer": "1", "answer": "1", "showCorrectAnswer": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "marks": 1, "type": "patternmatch"}, {"displayAnswer": "0", "answer": "0", "showCorrectAnswer": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "marks": 1, "type": "patternmatch"}, {"displayAnswer": "0", "answer": "0", "showCorrectAnswer": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "marks": 1, "type": "patternmatch"}, {"displayAnswer": "0", "answer": "0", "showCorrectAnswer": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "marks": 1, "type": "patternmatch"}, {"displayAnswer": "1", "answer": "1", "showCorrectAnswer": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "marks": 1, "type": "patternmatch"}], "prompt": "<p style=\"text-align: center;\">Complete the following truth table; enter $0$ for false and $1$ for true.<br/><br/></p>\n<table style=\"width: 50px; margin-left: auto; margin-right: auto;\" border=\"1\">\n<tbody>\n<tr><th>$p$</th><th>$q$</th><th>$r$</th><th>$q\\land r$</th><th style=\"text-align: center;\">$p\\Rightarrow(q\\land r)$</th><th>$p\\Rightarrow q$</th><th>$p\\Rightarrow r$</th><th>$(p\\Rightarrow q)\\land(p\\Rightarrow r)$</th></tr>\n<tr>\n<td>0</td>\n<td>0</td>\n<td>0</td>\n<td>[[0]]</td>\n<td>[[8]]</td>\n<td>[[16]]</td>\n<td>[[24]]</td>\n<td>[[32]]</td>\n</tr>\n<tr>\n<td>0</td>\n<td>0</td>\n<td>1</td>\n<td>[[1]]</td>\n<td>[[9]]</td>\n<td>[[17]]</td>\n<td>[[25]]</td>\n<td>[[33]]</td>\n</tr>\n<tr>\n<td>0</td>\n<td>1</td>\n<td>0</td>\n<td>[[2]]</td>\n<td>[[10]]</td>\n<td>[[18]]</td>\n<td>[[26]]</td>\n<td>[[34]]</td>\n</tr>\n<tr>\n<td>0</td>\n<td>1</td>\n<td>1</td>\n<td>[[3]]</td>\n<td>[[11]]</td>\n<td>[[19]]</td>\n<td>[[27]]</td>\n<td>[[35]]</td>\n</tr>\n<tr>\n<td>1</td>\n<td>0</td>\n<td>0</td>\n<td>[[4]]</td>\n<td>[[12]]</td>\n<td>[[20]]</td>\n<td>[[28]]</td>\n<td>[[36]]</td>\n</tr>\n<tr>\n<td>1</td>\n<td>0</td>\n<td>1</td>\n<td>[[5]]</td>\n<td>[[13]]</td>\n<td>[[21]]</td>\n<td>[[29]]</td>\n<td>[[37]]</td>\n</tr>\n<tr>\n<td>1</td>\n<td>1</td>\n<td>0</td>\n<td>[[6]]</td>\n<td>[[14]]</td>\n<td>[[22]]</td>\n<td>[[30]]</td>\n<td>[[38]]</td>\n</tr>\n<tr>\n<td>1</td>\n<td>1</td>\n<td>1</td>\n<td>[[7]]</td>\n<td>[[15]]</td>\n<td>[[23]]</td>\n<td>[[31]]</td>\n<td>[[39]]</td>\n</tr>\n</tbody>\n</table>", "variableReplacementStrategy": "originalfirst", "marks": 0}, {"displayColumns": 0, "minMarks": "0", "choices": ["<p>Yes</p>", "<p>No</p>"], "shuffleChoices": false, "matrix": ["2", 0], "distractors": ["", ""], "maxMarks": "2", "displayType": "radiogroup", "type": "1_n_2", "showCorrectAnswer": true, "scripts": {}, "variableReplacements": [], "prompt": "<p>From this truth table, are the expressions $p\\Rightarrow(q\\land r)$ and $(p\\Rightarrow q)\\land (p\\Rightarrow r)$ logically equivalent?</p>", "variableReplacementStrategy": "originalfirst", "marks": 0}], "preamble": {"css": "", "js": ""}, "type": "question", "statement": "<p>In this question you are asked to construct a truth table for the expressions</p>\n<p>$p\\Rightarrow(q\\wedge r)$ and $(p\\Rightarrow q)\\wedge (p\\Rightarrow r)$, using all possible combinations of truth values for $p,q,r$.</p>\n<p>Recall that $0$ means <strong>false</strong> and $1$ means <strong>true</strong>.</p>\n<p></p>\n<p></p>", "showQuestionGroupNames": false, "variable_groups": [], "rulesets": {}, "advice": "<p>Use the truth tables for the \"<strong>and</strong>\" operator $\\wedge$ and the implication $\\Rightarrow$. Remember that $p\\Rightarrow q$ is true whenever $p$ is false or $q$ is true.</p>\n<p></p>", "question_groups": [{"questions": [], "pickingStrategy": "all-ordered", "name": "", "pickQuestions": 0}], "variablesTest": {"condition": "", "maxRuns": "150"}, "contributors": [{"name": "Marie Nicholson", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1799/"}]}]}], "contributors": [{"name": "Marie Nicholson", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1799/"}]}