{"id":448,"date":"2021-06-17T14:59:06","date_gmt":"2021-06-17T14:59:06","guid":{"rendered":"https:\/\/paulfleisher.com\/?p=448"},"modified":"2021-06-17T14:59:08","modified_gmt":"2021-06-17T14:59:08","slug":"rolling-dice-answers","status":"publish","type":"post","link":"https:\/\/paulfleisher.com\/?p=448","title":{"rendered":"Rolling dice: answers."},"content":{"rendered":"\n

The probability of an event is calculated by counting the number of possible ways of getting a particular outcome (such as rolling a 9 on the dice), and dividing by the total number of possibilities.  Probability is expressed as either a fraction or a decimal.  The probability of an event is always somewhere between 0 (impossible) and 1 (certain).<\/p>\n\n\n\n

How many different possible outcomes are there when you roll two dice?  ___36____ (Rolling a one on the first die and a two on the second is a different<\/span> outcome from rolling a two on the first and a one on the second–even though the sum of each is three. The result of each die is completely independent of the other.)<\/p>\n\n\n\n

How many different ways can you roll a 9?  _____4_____ ( six and three; five and four; four and five;and three and six.)<\/p>\n\n\n\n

So the probability of rolling a 9 is : ____4\/36______  (express as a fraction)<\/p>\n\n\n\n

What is the probability of each possible roll of two dice.<\/p>\n\n\n\n

2: ____1\/36\u00a0\u00a0(one and one)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/p>\n\n\n\n

3: _____2\/36\u00a0\u00a0(two and one; one and two)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/p>\n\n\n\n

4: ____3\/36\u00a0 (two and two; one and three; three and one)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/p>\n\n\n\n

5: ____4\/36 (one and four; two and three; three and two; four and one)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/p>\n\n\n\n

6: ____5\/36 (one and five; two and four; three and three; four and two; five and one)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/p>\n\n\n\n

7: ____6\/36 (six and one; five and two; four and three; three and four; two and five; one and six)<\/p>\n\n\n\n

8: ____5\/36 \u00a0(six and two; five and three; four and four; three and five; two and six)<\/p>\n\n\n\n

9: ____4\/36 (six and three; five and four; four and five; three and six)<\/p>\n\n\n\n

10: ___3\/36 (six and four; five and five; four and six)<\/p>\n\n\n\n

11:____2\/36\u00a0 (six and five; five and six)<\/p>\n\n\n\n

12: ____1\/36\u00a0 (six and six)<\/p>\n\n\n\n

Back to the Random Mozart activity<\/a><\/p>\n\n\n\n

<\/p>\n","protected":false},"excerpt":{"rendered":"

The probability of an event is calculated by counting the number of possible ways of getting a particular outcome (such as rolling a 9 on the dice), and dividing by the total number of possibilities.  Probability is expressed as either a fraction or a decimal.  The probability of an event is always somewhere between 0 …<\/p>\n

Continue reading ‘Rolling dice: answers.’ »<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2},"jetpack_post_was_ever_published":false},"categories":[1],"tags":[],"class_list":["post-448","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"yoast_head":"\nRolling dice: answers. - Paul Fleisher<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/paulfleisher.com\/?p=448\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Rolling dice: answers. - 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