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Example 3 - Suppose we throw a die once. What is probability - Die

  1. Chapter 15 Class 10 Probability
  2. Serial order wise
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Example 3 Suppose we throw a die once. What is the probability of getting a number greater than 4 ? Total outcomes that can occur are 1, 2, 3, 4, 5, 6 Total number of outcomes = 6 Numbers greater than 4 = 5 & 6 Number of outcomes where number is greater than 4 = 2 Probability of getting a number greater than 4 = (๐‘๐‘ข๐‘š๐‘๐‘’๐‘Ÿ ๐‘œ๐‘“ ๐‘œ๐‘ข๐‘ก๐‘๐‘œ๐‘š๐‘’๐‘  ๐‘คโ„Ž๐‘’๐‘Ÿ๐‘’ ๐‘กโ„Ž๐‘’๐‘Ÿ๐‘’ ๐‘–๐‘  ๐‘Ž ๐‘›๐‘ข๐‘š๐‘๐‘’๐‘Ÿ ๐‘”๐‘Ÿ๐‘’๐‘Ž๐‘ก๐‘’๐‘Ÿ ๐‘กโ„Ž๐‘Ž๐‘› 4)/(๐‘‡๐‘œ๐‘ก๐‘Ž๐‘™ ๐‘›๐‘ข๐‘š๐‘๐‘’๐‘Ÿ ๐‘œ๐‘“ ๐‘œ๐‘ข๐‘ก๐‘๐‘œ๐‘š๐‘’๐‘ ) = 2/6 = 1/3 Example 3 (Method 1) Suppose we throw a die once. (ii) What is the probability of getting a number less than or equal to 4 ? Total outcomes that can occur are 1, 2, 3, 4, 5, 6 Total number of outcomes = 6 Numbers less than or equal to 4 = 1, 2, 3, & 4 Number of outcomes where number is less than or equal to 4 = 4 Probability of getting a number less than or equal to 4 = (๐‘๐‘ข๐‘š๐‘๐‘’๐‘Ÿ ๐‘œ๐‘“ ๐‘œ๐‘ข๐‘ก๐‘๐‘œ๐‘š๐‘’๐‘  ๐‘คโ„Ž๐‘’๐‘Ÿ๐‘’ ๐‘กโ„Ž๐‘’๐‘Ÿ๐‘’ ๐‘–๐‘  ๐‘Ž ๐‘›๐‘ข๐‘š๐‘๐‘’๐‘Ÿ ๐‘™๐‘’๐‘ ๐‘  ๐‘กโ„Ž๐‘Ž๐‘› ๐‘œ๐‘Ÿ ๐‘’๐‘ž๐‘ข๐‘Ž๐‘™ ๐‘ก๐‘œ 4)/(๐‘‡๐‘œ๐‘ก๐‘Ž๐‘™ ๐‘›๐‘ข๐‘š๐‘๐‘’๐‘Ÿ ๐‘œ๐‘“ ๐‘œ๐‘ข๐‘ก๐‘๐‘œ๐‘š๐‘’๐‘ ) = 4/6 = 2/3 Example 3 (Method 2) Suppose we throw a die once. (ii) What is the probability of getting a number less than or equal to 4 ? P(getting a number less than or equal to 4) = 1 โ€“ P(not getting a number less than or equal to 4) = 1 โ€“ P(getting a number greater than 4) = 1 โ€“ 1/3 = 2/3

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He provides courses for Mathematics from Class 9 to 12. You can ask questions here.
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