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Example 13 - Two dice, one blue and one grey are thrown - Examples

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Example 13 Two dice, one blue and one grey, are thrown at the same time. Write down all the possible outcomes. What is the probability that the sum of the two numbers appearing on the top of the dice is 8? Total number of outcomes = 36 Probability that sum of two numbers is 8 = (๐‘๐‘ข๐‘š๐‘๐‘’๐‘Ÿ ๐‘œ๐‘“ ๐‘œ๐‘ข๐‘ก๐‘๐‘œ๐‘š๐‘’๐‘  ๐‘คโ„Ž๐‘’๐‘Ÿ๐‘’ ๐‘ ๐‘ข๐‘š ๐‘–๐‘  8)/(๐‘‡๐‘œ๐‘ก๐‘Ž๐‘™ ๐‘›๐‘ข๐‘š๐‘๐‘’๐‘Ÿ ๐‘œ๐‘“ ๐‘œ๐‘ข๐‘ก๐‘๐‘œ๐‘š๐‘’๐‘ ) = 5/36 Example 13 (ii) 13? Total number of outcomes = 36 Probability that sum of two numbers is 13 = (๐‘๐‘ข๐‘š๐‘๐‘’๐‘Ÿ ๐‘œ๐‘“ ๐‘œ๐‘ข๐‘ก๐‘๐‘œ๐‘š๐‘’๐‘  ๐‘คโ„Ž๐‘’๐‘Ÿ๐‘’ ๐‘ ๐‘ข๐‘š ๐‘–๐‘  13)/(๐‘‡๐‘œ๐‘ก๐‘Ž๐‘™ ๐‘›๐‘ข๐‘š๐‘๐‘’๐‘Ÿ ๐‘œ๐‘“ ๐‘œ๐‘ข๐‘ก๐‘๐‘œ๐‘š๐‘’๐‘ ) = 0/36 = 0 Example 13 (iii) Less than or equal to 12? Total number of outcomes = 36 Probability that sum of two numbers is less than or equal to 12 = (๐‘๐‘ข๐‘š๐‘๐‘’๐‘Ÿ ๐‘œ๐‘“ ๐‘œ๐‘ข๐‘ก๐‘๐‘œ๐‘š๐‘’๐‘  ๐‘คโ„Ž๐‘’๐‘Ÿ๐‘’ ๐‘ ๐‘ข๐‘š ๐‘–๐‘  ๐‘™๐‘’๐‘ ๐‘  ๐‘กโ„Ž๐‘Ž๐‘› ๐‘œ๐‘Ÿ ๐‘’๐‘ž๐‘ข๐‘Ž๐‘™ ๐‘ก๐‘œ 12)/(๐‘‡๐‘œ๐‘ก๐‘Ž๐‘™ ๐‘›๐‘ข๐‘š๐‘๐‘’๐‘Ÿ ๐‘œ๐‘“ ๐‘œ๐‘ข๐‘ก๐‘๐‘œ๐‘š๐‘’๐‘ ) = 36/36 = 1

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.