{"id":3182,"date":"2020-02-07T15:32:48","date_gmt":"2020-02-07T20:32:48","guid":{"rendered":"https:\/\/pressbooks.library.ryerson.ca\/ohsmath\/?post_type=chapter&p=3182"},"modified":"2020-12-14T10:49:45","modified_gmt":"2020-12-14T15:49:45","slug":"6-6-practice-question-answers","status":"publish","type":"chapter","link":"https:\/\/pressbooks.library.torontomu.ca\/ohsmath\/chapter\/6-6-practice-question-answers\/","title":{"raw":"6.6. Practice question answers","rendered":"6.6. Practice question answers"},"content":{"raw":"[Latexpage]\r\n

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

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

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

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

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

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

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

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

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

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

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

 <\/p>\n","protected":false},"author":130,"menu_order":6,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[48],"contributor":[],"license":[],"class_list":["post-3182","chapter","type-chapter","status-publish","hentry","chapter-type-numberless"],"part":964,"_links":{"self":[{"href":"https:\/\/pressbooks.library.torontomu.ca\/ohsmath\/wp-json\/pressbooks\/v2\/chapters\/3182","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.library.torontomu.ca\/ohsmath\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/pressbooks.library.torontomu.ca\/ohsmath\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.library.torontomu.ca\/ohsmath\/wp-json\/wp\/v2\/users\/130"}],"version-history":[{"count":24,"href":"https:\/\/pressbooks.library.torontomu.ca\/ohsmath\/wp-json\/pressbooks\/v2\/chapters\/3182\/revisions"}],"predecessor-version":[{"id":3356,"href":"https:\/\/pressbooks.library.torontomu.ca\/ohsmath\/wp-json\/pressbooks\/v2\/chapters\/3182\/revisions\/3356"}],"part":[{"href":"https:\/\/pressbooks.library.torontomu.ca\/ohsmath\/wp-json\/pressbooks\/v2\/parts\/964"}],"metadata":[{"href":"https:\/\/pressbooks.library.torontomu.ca\/ohsmath\/wp-json\/pressbooks\/v2\/chapters\/3182\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.library.torontomu.ca\/ohsmath\/wp-json\/wp\/v2\/media?parent=3182"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/pressbooks.library.torontomu.ca\/ohsmath\/wp-json\/pressbooks\/v2\/chapter-type?post=3182"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.library.torontomu.ca\/ohsmath\/wp-json\/wp\/v2\/contributor?post=3182"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.library.torontomu.ca\/ohsmath\/wp-json\/wp\/v2\/license?post=3182"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}