{"id":86,"date":"2020-02-07T15:32:48","date_gmt":"2020-02-07T20:32:48","guid":{"rendered":"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/chapter\/6-6-practice-question-answers\/"},"modified":"2023-11-27T14:19:25","modified_gmt":"2023-11-27T19:19:25","slug":"6-6-practice-question-answers","status":"publish","type":"chapter","link":"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/chapter\/6-6-practice-question-answers\/","title":{"raw":"6.6. Practice question answers","rendered":"6.6. Practice question answers"},"content":{"raw":"[Latexpage]\n

Chapter 6 practice question answers<\/h1>\n
\n

6.1. Sample Spaces and Probability<\/strong><\/p>\n\n<\/header>\n

\n\n1.<\/strong> {1H, 2H, 3H, 4H, 5H, 6H, 1T, 2T, 3T, 4T, 5T, 6T}\n\n2.\u00a0<\/strong> a<\/strong>. $4\/52$\n\n\u00a0 \u00a0 \u00a0b.<\/b> $39\/52$\n\n3.\u00a0 <\/strong>a<\/strong>. $6\/20$\n\n\u00a0 \u00a0 \u00a0b.<\/b> $13\/20$\n\n4.\u00a0 <\/strong>a.<\/strong> $4\/36$\n\n\u00a0 \u00a0 \u00a0b.<\/b> $7\/36$\n\n5.\u00a0 <\/strong>a.<\/strong> $6\/16$\n\n\u00a0 \u00a0 \u00a0b.<\/b> $5\/16$\n\n<\/div>\n<\/div>\n \n
\n

6.2. Mutually Exclusive Events and the Addition Rule<\/strong><\/p>\n\n<\/header>\n

\n\n1.\u00a0<\/strong> a. <\/strong>No\n\n\u00a0 \u00a0 \u00a0b.<\/b> Yes\n\n\u00a0 \u00a0 \u00a0c.<\/b> No\n\n2.\u00a0\u00a0<\/strong>$13\/36$\n\n3.\u00a0 <\/strong>40%\n\n4.\u00a0 <\/strong>a.<\/strong> $83\/100$\n\n\u00a0 \u00a0 \u00a0b.<\/b> $69\/100$\n\n5.\u00a0 <\/strong>0.5\n\n6.\u00a0 <\/strong>a. <\/strong>0.375\n\n\u00a0 \u00a0 \u00a0b.<\/b> 0.55\n\n\u00a0 \u00a0 \u00a0c.<\/b> 0.175\n\n<\/div>\n<\/div>\n \n
\n

6.3. Probability Using Tree Diagrams and Combinations<\/strong><\/p>\n\n<\/header>\n

\n\n1.\u00a0<\/strong> a.<\/strong> $20\/56$\n\n\u00a0 \u00a0 \u00a0b.<\/strong> $6\/56$\n\n2.\u00a0<\/strong> a.<\/strong> $10\/220$\n\n\u00a0 \u00a0 \u00a0b.<\/strong> $56\/220$\n\n3.\u00a0<\/strong> a.<\/strong> $45\/1365$\n\n\u00a0 \u00a0 \u00a0b.<\/strong> $21\/1365$\n\n\u00a0 \u00a0 \u00a0c.<\/strong> $324\/1365$\n\n4.\u00a0<\/strong> a.<\/strong> \u2248 0.0036\n\n\u00a0 \u00a0 \u00a0b.<\/strong> \u2248 0.1291\n\n\u00a0 \u00a0 \u00a0c.<\/strong> \u2248 0.0619\n\n\u00a0 \u00a0 \u00a0d.<\/strong> \u2248 0.4474\n\n5.\u00a0<\/strong> a.<\/strong> \u2248 0.8831\n\n\u00a0 \u00a0 \u00a0b.<\/strong> \u2248 0.8144\n\n<\/div>\n<\/div>\n \n
\n

6.4. Conditional Probability<\/strong><\/p>\n\n<\/header>\n

\n\n1.\u00a0<\/strong> $1\/3$\n\n2.\u00a0 <\/strong>a.<\/strong> $31\/64$\n\n\u00a0 \u00a0 \u00a0b.<\/b> $17\/50$\n\n\u00a0 \u00a0 \u00a0c.<\/b> $33\/64$\n\n3.\u00a0 <\/strong>a.<\/strong> $0.3\/0.7$\n\n\u00a0 \u00a0 \u00a0b.<\/b> $0.3\/0.6$\n\n4.\u00a0 <\/strong>$3\/4$\n\n5.\u00a0 <\/strong>$0.25\/0.55$\n\n6.\u00a0 <\/strong>a.<\/strong> $1025\/1800$\n\n\u00a0 \u00a0 \u00a0b.<\/b> $175\/425$\n\n\u00a0 \u00a0 \u00a0c.<\/b> $225\/350$\n\n<\/div>\n<\/div>\n \n
\n

6.5. Independent Events<\/strong><\/p>\n\n<\/header>\n

\n\n1.<\/strong>\u00a0 No\n\n2.<\/strong>\u00a0 Yes\n\n3.<\/strong>\u00a0 0.36\n\n4.\u00a0 a. <\/strong>$28\/100$<\/span>\n\n\u00a0 \u00a0 \u00a0b.<\/strong> $82\/100$<\/span>\n\n5.\u00a0 a.<\/strong> $200\/600$\n\n\u00a0 \u00a0 \u00a0b.<\/strong> $150\/200$\n\n\u00a0 \u00a0 \u00a0c.<\/strong> $100\/150$\n\n\u00a0 \u00a0 \u00a0d.<\/strong> Yes\n\n6.<\/strong>\u00a0 0.50\n\n<\/div>\n<\/div>\n ","rendered":"

Chapter 6 practice question answers<\/h1>\n
\n
\n

6.1. Sample Spaces and Probability<\/strong><\/p>\n<\/header>\n

\n

1.<\/strong> {1H, 2H, 3H, 4H, 5H, 6H, 1T, 2T, 3T, 4T, 5T, 6T}<\/p>\n

2.\u00a0<\/strong> a<\/strong>. \"4/52\"<\/p>\n

\u00a0 \u00a0 \u00a0b.<\/b> \"39/52\"<\/p>\n

3.\u00a0 <\/strong>a<\/strong>. \"6/20\"<\/p>\n

\u00a0 \u00a0 \u00a0b.<\/b> \"13/20\"<\/p>\n

4.\u00a0 <\/strong>a.<\/strong> \"4/36\"<\/p>\n

\u00a0 \u00a0 \u00a0b.<\/b> \"7/36\"<\/p>\n

5.\u00a0 <\/strong>a.<\/strong> \"6/16\"<\/p>\n

\u00a0 \u00a0 \u00a0b.<\/b> \"5/16\"<\/p>\n<\/div>\n<\/div>\n

 <\/p>\n

\n
\n

6.2. Mutually Exclusive Events and the Addition Rule<\/strong><\/p>\n<\/header>\n

\n

1.\u00a0<\/strong> a. <\/strong>No<\/p>\n

\u00a0 \u00a0 \u00a0b.<\/b> Yes<\/p>\n

\u00a0 \u00a0 \u00a0c.<\/b> No<\/p>\n

2.\u00a0\u00a0<\/strong>\"13/36\"<\/p>\n

3.\u00a0 <\/strong>40%<\/p>\n

4.\u00a0 <\/strong>a.<\/strong> \"83/100\"<\/p>\n

\u00a0 \u00a0 \u00a0b.<\/b> \"69/100\"<\/p>\n

5.\u00a0 <\/strong>0.5<\/p>\n

6.\u00a0 <\/strong>a. <\/strong>0.375<\/p>\n

\u00a0 \u00a0 \u00a0b.<\/b> 0.55<\/p>\n

\u00a0 \u00a0 \u00a0c.<\/b> 0.175<\/p>\n<\/div>\n<\/div>\n

 <\/p>\n

\n
\n

6.3. Probability Using Tree Diagrams and Combinations<\/strong><\/p>\n<\/header>\n

\n

1.\u00a0<\/strong> a.<\/strong> \"20/56\"<\/p>\n

\u00a0 \u00a0 \u00a0b.<\/strong> \"6/56\"<\/p>\n

2.\u00a0<\/strong> a.<\/strong> \"10/220\"<\/p>\n

\u00a0 \u00a0 \u00a0b.<\/strong> \"56/220\"<\/p>\n

3.\u00a0<\/strong> a.<\/strong> \"45/1365\"<\/p>\n

\u00a0 \u00a0 \u00a0b.<\/strong> \"21/1365\"<\/p>\n

\u00a0 \u00a0 \u00a0c.<\/strong> \"324/1365\"<\/p>\n

4.\u00a0<\/strong> a.<\/strong> \u2248 0.0036<\/p>\n

\u00a0 \u00a0 \u00a0b.<\/strong> \u2248 0.1291<\/p>\n

\u00a0 \u00a0 \u00a0c.<\/strong> \u2248 0.0619<\/p>\n

\u00a0 \u00a0 \u00a0d.<\/strong> \u2248 0.4474<\/p>\n

5.\u00a0<\/strong> a.<\/strong> \u2248 0.8831<\/p>\n

\u00a0 \u00a0 \u00a0b.<\/strong> \u2248 0.8144<\/p>\n<\/div>\n<\/div>\n

 <\/p>\n

\n
\n

6.4. Conditional Probability<\/strong><\/p>\n<\/header>\n

\n

1.\u00a0<\/strong> \"1/3\"<\/p>\n

2.\u00a0 <\/strong>a.<\/strong> \"31/64\"<\/p>\n

\u00a0 \u00a0 \u00a0b.<\/b> \"17/50\"<\/p>\n

\u00a0 \u00a0 \u00a0c.<\/b> \"33/64\"<\/p>\n

3.\u00a0 <\/strong>a.<\/strong> \"0.3/0.7\"<\/p>\n

\u00a0 \u00a0 \u00a0b.<\/b> \"0.3/0.6\"<\/p>\n

4.\u00a0 <\/strong>\"3/4\"<\/p>\n

5.\u00a0 <\/strong>\"0.25/0.55\"<\/p>\n

6.\u00a0 <\/strong>a.<\/strong> \"1025/1800\"<\/p>\n

\u00a0 \u00a0 \u00a0b.<\/b> \"175/425\"<\/p>\n

\u00a0 \u00a0 \u00a0c.<\/b> \"225/350\"<\/p>\n<\/div>\n<\/div>\n

 <\/p>\n

\n
\n

6.5. Independent Events<\/strong><\/p>\n<\/header>\n

\n

1.<\/strong>\u00a0 No<\/p>\n

2.<\/strong>\u00a0 Yes<\/p>\n

3.<\/strong>\u00a0 0.36<\/p>\n

4.\u00a0 a. <\/strong>\"28/100\"<\/span><\/p>\n

\u00a0 \u00a0 \u00a0b.<\/strong> \"82/100\"<\/span><\/p>\n

5.\u00a0 a.<\/strong> \"200/600\"<\/p>\n

\u00a0 \u00a0 \u00a0b.<\/strong> \"150/200\"<\/p>\n

\u00a0 \u00a0 \u00a0c.<\/strong> \"100/150\"<\/p>\n

\u00a0 \u00a0 \u00a0d.<\/strong> Yes<\/p>\n

6.<\/strong>\u00a0 0.50<\/p>\n<\/div>\n<\/div>\n

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