{"id":449,"date":"2022-04-13T11:01:30","date_gmt":"2022-04-13T11:01:30","guid":{"rendered":"http:\/\/10thclass.deltapublications.in\/?page_id=449"},"modified":"2024-11-16T05:42:06","modified_gmt":"2024-11-16T05:42:06","slug":"x-6-geometric-probability","status":"publish","type":"page","link":"https:\/\/10thclass.deltapublications.in\/index.php\/x-6-geometric-probability\/","title":{"rendered":"X.6 Geometric probability"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong> Geometric probability<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-f79afd6ea8b322268468366b8e5f7cc7\" style=\"color:#74008b\"><strong>Key Notes:<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-large-font-size\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\ud83c\udfaf Probability&nbsp;is the measure of how likely an event is to&nbsp;occur.If&nbsp;a line segment is completely contained in another and a point on the larger segment is chosen at random, the probability it is also on the smaller segment equals the length of the smaller segment divided by the length of the larger&nbsp;segment.<\/p>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-link-color has-large-font-size wp-elements-ea6c099349cb81b908acf99646f9c211\" style=\"background-color:#bbc0f9\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"100\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-1.png\" alt=\"\" class=\"wp-image-11012\" style=\"width:567px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-1.png 670w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-1-300x45.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n\n\n\n<p>If a point E on AD is chosen at random, the probability that E is on BC is BC\/AD <\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-align-center has-text-color has-large-font-size\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-link-color wp-elements-cbed198db6793b7c191fe4e5442cbcb8\" style=\"background-color:#f9b2b2\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-color has-background has-link-color wp-elements-801ea0a4a3c6508ba32c9a7c8ca049a6\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color has-link-color wp-elements-82444b702ede3110a802f6d3b421d8bc\" style=\"color:#b00012\">\ud83c\udfeb <strong>A&nbsp;point on the line segment is chosen at random. What is the probability it is between&nbsp;57&nbsp;and&nbsp;58?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"600\" height=\"78\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-500-\u00d7-500px-600-\u00d7-200px.png\" alt=\"\" class=\"wp-image-3910\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-500-\u00d7-500px-600-\u00d7-200px.png 600w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-500-\u00d7-500px-600-\u00d7-200px-300x39.png 300w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/figure>\n\n\n\n<p><em>Simplify&nbsp;your answer and write it as a proper&nbsp;fraction.<\/em>_______<\/p>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Look&nbsp;at the line&nbsp;segment.46,48,50,52,54,56,58<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"600\" height=\"78\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled__500___500px___600___200px_-removebg-preview.png\" alt=\"\" class=\"wp-image-3915\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled__500___500px___600___200px_-removebg-preview.png 600w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled__500___500px___600___200px_-removebg-preview-300x39.png 300w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The&nbsp;segment between&nbsp;57&nbsp;and&nbsp;58&nbsp;is completely contained in the total segment. The length of the shorter segment is the absolute value of the difference between its left endpoint and right endpoint, which is&nbsp;|57\u201358|=1.<\/li>\n\n\n\n<li>Similarly,&nbsp;the total length of the segment is&nbsp;|46\u201358|=12.<\/li>\n\n\n\n<li>Divide&nbsp;the lengths to find the probability that a randomly chosen point between&nbsp;46&nbsp;and&nbsp;58&nbsp;is also between&nbsp;57&nbsp;and&nbsp;58.The&nbsp;probability is 1\/12.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#e1c0fe\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-color has-background has-link-color wp-elements-bd208192a13f68c77f9a1973edebe494\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color has-link-color wp-elements-873ef7e801e62dd86424b1ba8950e666\" style=\"color:#b00012\">\ud83c\udfeb A<strong>&nbsp;point on the line segment is chosen at random. What is the probability it is between&nbsp;49&nbsp;and&nbsp;50?45,46,47,48,49,50,51<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"600\" height=\"91\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled__500___500px___600___200px___1_-removebg-preview.png\" alt=\"\" class=\"wp-image-3919\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled__500___500px___600___200px___1_-removebg-preview.png 600w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled__500___500px___600___200px___1_-removebg-preview-300x46.png 300w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/figure>\n\n\n\n<p>\ud83c\udfeb ,<em>Simplify&nbsp;your answer and write it as a proper&nbsp;fraction.<\/em>_____<\/p>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"has-primary-color has-text-color has-link-color wp-elements-a4060ce0b101d6c40f08a9f5c7a8d0e9\">Look&nbsp;at the line&nbsp;segment.45,46,47,48,49,50,51<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"600\" height=\"91\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled__500___500px___600___200px___1_-removebg-preview-1.png\" alt=\"\" class=\"wp-image-3922\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled__500___500px___600___200px___1_-removebg-preview-1.png 600w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled__500___500px___600___200px___1_-removebg-preview-1-300x46.png 300w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The&nbsp;segment between&nbsp;49&nbsp;and&nbsp;50&nbsp;is completely contained in the total segment. The length of the shorter segment is the absolute value of the difference between its left endpoint and right endpoint, which is&nbsp;|49\u201350|=1.<\/li>\n\n\n\n<li>Similarly,&nbsp;the total length of the segment is&nbsp;|45\u201351|=6<\/li>\n\n\n\n<li>Divide&nbsp;the lengths to find the probability that a randomly chosen point between&nbsp;45&nbsp;and&nbsp;51&nbsp;is also between&nbsp;49&nbsp;and&nbsp;50.The&nbsp;probability is&nbsp;1\/6.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-link-color wp-elements-2b4629c4e5ae27f1480f33ccfe58365c\" style=\"background-color:#f3a8a8\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-color has-background has-link-color wp-elements-5364aaf7a1e0f5e48d266331eec81260\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color has-link-color wp-elements-c0137e589e7f9d80612811a485e0a78d\" style=\"color:#b00012\">\ud83c\udfeb <strong>A&nbsp;point on the line segment is chosen at random. What is the probability it is between&nbsp;57&nbsp;and&nbsp;63?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"600\" height=\"75\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-500-\u00d7-500px-600-\u00d7-200px-2.png\" alt=\"\" class=\"wp-image-3923\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-500-\u00d7-500px-600-\u00d7-200px-2.png 600w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-500-\u00d7-500px-600-\u00d7-200px-2-300x38.png 300w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/figure>\n\n\n\n<p>\ud83c\udfeb <em>Simplify&nbsp;your answer and write it as a proper&nbsp;fraction.<\/em>_______<\/p>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Look&nbsp;at the line&nbsp;segment.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"600\" height=\"75\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled__500___500px___600___200px___2_-removebg-preview.png\" alt=\"\" class=\"wp-image-3924\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled__500___500px___600___200px___2_-removebg-preview.png 600w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled__500___500px___600___200px___2_-removebg-preview-300x38.png 300w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The&nbsp;segment between&nbsp;57&nbsp;and&nbsp;63&nbsp;is completely contained in the total segment. The length of the shorter segment is the absolute value of the difference between its left endpoint and right endpoint, which is&nbsp;|57\u201363|=6. <\/li>\n\n\n\n<li>Similarly,&nbsp;the total length of the segment is&nbsp;|56\u201363|=7. <\/li>\n\n\n\n<li>Divide&nbsp;the lengths to find the probability that a randomly chosen point between&nbsp;56&nbsp;and&nbsp;63&nbsp;is also between&nbsp;57&nbsp;and&nbsp;63.The&nbsp;probability is&nbsp;6\/7.<\/li>\n<\/ul>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\"><strong>Let&#8217;s practice!\ud83d\udd8a\ufe0f<\/strong><\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/75553\/430\/989\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-164.png\" alt=\"\" class=\"wp-image-7496\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-164.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-164-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-164-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/81048\/921\/422\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-183.png\" alt=\"\" class=\"wp-image-7497\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-183.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-183-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-183-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Geometric probability Key Notes: \ud83c\udfaf Probability&nbsp;is the measure of how likely an event is to&nbsp;occur.If&nbsp;a line segment is completely contained in another and a point on the larger segment is chosen at random, the probability it is also on the smaller segment equals the length of the smaller segment divided by the length of the<a class=\"more-link\" href=\"https:\/\/10thclass.deltapublications.in\/index.php\/x-6-geometric-probability\/\">Continue reading <span class=\"screen-reader-text\">&#8220;X.6 Geometric probability&#8221;<\/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-449","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/449","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=449"}],"version-history":[{"count":14,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/449\/revisions"}],"predecessor-version":[{"id":14612,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/449\/revisions\/14612"}],"wp:attachment":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=449"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}