{"id":21198,"date":"2025-06-15T08:45:48","date_gmt":"2025-06-15T08:45:48","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=21198"},"modified":"2025-06-15T08:45:49","modified_gmt":"2025-06-15T08:45:49","slug":"the-probability-of-throwing-two-ones-with-a-pair-of-dice-equals-_","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/the-probability-of-throwing-two-ones-with-a-pair-of-dice-equals-_\/","title":{"rendered":"The probability of throwing two ones with a pair of dice equals _"},"content":{"rendered":"\n<p>The probability of throwing two ones with a pair of dice equals <strong><em>_<\/em><\/strong>. Group of answer choices 0.3600 0.3333 0.1667 0.0278<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"><strong>The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n<p>The correct answer is <strong>0.0278<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>When you throw two dice, each die is independent of the other, and each die has 6 faces numbered 1 through 6.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Total number of possible outcomes when throwing two dice:<\/strong><br>Each die has 6 possible outcomes, so the total number of outcomes is:<br>6 (for the first die) \u00d7 6 (for the second die) = 36 possible outcomes.<\/li>\n\n\n\n<li><strong>Favorable outcome: Throwing two ones<\/strong><br>To get two ones means the first die shows a 1 <strong>and<\/strong> the second die shows a 1. There is only <strong>one such outcome<\/strong>: (1, 1).<\/li>\n\n\n\n<li><strong>Calculating the probability:<\/strong><br>The probability of an event is the number of favorable outcomes divided by the total number of possible outcomes.<\/li>\n<\/ul>\n\n\n\n<p>P(two&nbsp;ones)=136\u22480.0278P(\\text{two ones}) = \\frac{1}{36} \\approx 0.0278<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Why the other options are incorrect:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>0.3600 (36%)<\/strong>: This is far too high. This would imply more than 1\/3 chance, which is impossible for two specific dice faces appearing simultaneously.<\/li>\n\n\n\n<li><strong>0.3333 (33.33%)<\/strong>: This would mean 1\/3 chance, again way too high for such a specific event.<\/li>\n\n\n\n<li><strong>0.1667 (16.67%)<\/strong>: This is 1\/6, which could be the chance of getting a one on <strong>one die<\/strong>, but not both dice simultaneously.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Summary:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The event &#8220;throwing two ones with a pair of dice&#8221; is a very specific, single outcome out of 36.<\/li>\n\n\n\n<li>The probability is therefore 136\u22480.0278\\frac{1}{36} \\approx 0.0278.<\/li>\n\n\n\n<li>This means that in repeated rolls, you would expect to get double ones about 2.78% of the time.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>The probability of throwing two ones with a pair of dice equals _. Group of answer choices 0.3600 0.3333 0.1667 0.0278 The correct answer and explanation is: The correct answer is 0.0278. Explanation: When you throw two dice, each die is independent of the other, and each die has 6 faces numbered 1 through 6. [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-21198","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/21198","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=21198"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/21198\/revisions"}],"predecessor-version":[{"id":21199,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/21198\/revisions\/21199"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=21198"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=21198"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=21198"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}