{"id":443,"date":"2022-04-13T11:00:34","date_gmt":"2022-04-13T11:00:34","guid":{"rendered":"http:\/\/10thclass.deltapublications.in\/?page_id=443"},"modified":"2024-11-16T05:22:08","modified_gmt":"2024-11-16T05:22:08","slug":"x-3-compound-events-find-the-number-of-outcomes","status":"publish","type":"page","link":"https:\/\/10thclass.deltapublications.in\/index.php\/x-3-compound-events-find-the-number-of-outcomes\/","title":{"rendered":"X.3 Compound events: find the number of outcomes"},"content":{"rendered":"\n

Compound events: find the number of outcomes<\/strong><\/h2>\n\n\n\n

Key Notes:<\/strong><\/p>\n\n\n\n

\n

The branches of a tree diagram represent all possible outcomes.<\/p>\n\n\n\n

Learn with an example<\/strong><\/p>\n\n\n\n

\n
\n
\n

you roll a die and pick a marble.<\/p>\n\n\n\n

How many outcomes are possible?<\/strong><\/p>\n\n\n\n

\"\"<\/figure>\n<\/div><\/div>\n\n\n\n

Make a tree diagram, then count the branches.<\/p>\n\n\n\n

The first event has 6 outcomes: 1, 2, 3, 4, 5 and 6.<\/p>\n\n\n\n

The second event has 5 outcomes: blue (Bl), green (G), purple (Pu), pink (Pi) and orange (O).<\/p>\n\n\n\n

Make a tree diagram:<\/p>\n\n\n

\n
\"\"<\/figure><\/div>\n\n\n

Count the number of branches. There are 30 branches, so there are 30 possible outcomes.<\/p>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n

\n
\n

You spin the spinner, flip a coin and pick a marble.<\/p>\n\n\n\n

How many outcomes are possible?<\/strong><\/p>\n\n\n\n

\"\"<\/figure>\n<\/div><\/div>\n\n\n\n

Make a tree diagram, then count the branches.<\/p>\n\n\n\n

The first event has 2 outcomes: Q and R.<\/p>\n\n\n\n

The second event has 2 outcomes: heads (H) and tails (T).<\/p>\n\n\n\n

The third event has 4 outcomes: purple (Pu), blue (Bl), orange (O) and green (G).<\/p>\n\n\n\n

Make a tree diagram:<\/p>\n\n\n

\n
\"\"<\/figure><\/div>\n\n\n

Count the number of branches. There are 16 branches, so there are 16 possible outcomes.<\/p>\n<\/div><\/div>\n\n\n\n

\n
\n

You pick a marble and flip a coin.<\/p>\n\n\n\n

How many outcomes are possible?<\/strong><\/p>\n\n\n\n

\"\"<\/figure>\n<\/div><\/div>\n\n\n\n

Make a tree diagram, then count the branches.<\/p>\n\n\n\n

The first event has 5 outcomes: pink (Pi), green (G), orange (O), blue (Bl) and purple (Pu).<\/p>\n\n\n\n

The second event has 2 outcomes: heads (H) and tails (T).<\/p>\n\n\n\n

Make a tree diagram:<\/p>\n\n\n

\n
\"\"<\/figure><\/div>\n\n\n

Count the number of branches. There are 10 branches, so there are 10 possible outcomes.<\/p>\n<\/div><\/div>\n\n\n\n

Let’s practice!<\/strong><\/p>\n<\/div><\/div>\n\n\n\n

\n
\n
\"\"<\/a><\/figure>\n<\/div>\n\n\n\n
\n
\"\"<\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Compound events: find the number of outcomes Key Notes: The branches of a tree diagram represent all possible outcomes. Learn with an example you roll a die and pick a marble. How many outcomes are possible? Make a tree diagram, then count the branches. The first event has 6 outcomes: 1, 2, 3, 4, 5Continue reading “X.3 Compound events: find the number of outcomes”<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-443","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/443","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=443"}],"version-history":[{"count":14,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/443\/revisions"}],"predecessor-version":[{"id":14597,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/443\/revisions\/14597"}],"wp:attachment":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=443"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}