Example 3 - If you roll a standard 6-sided die what is the theoretical - Experimental and Theoretical Probability

part 2 - Example 3 - Experimental and Theoretical Probability - Chapter 7 - The Mathematics of Maybe: Introduction to Probability - Class 9

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Transcript

Example 3 If you roll a standard 6-sided die, what is the theoretical probability of getting a 4? Now, P(getting a 4) = (๐‘ต๐’–๐’Ž๐’ƒ๐’†๐’“ ๐’๐’‡ ๐’๐’–๐’•๐’„๐’๐’Ž๐’†๐’” ๐’˜๐’‰๐’†๐’“๐’† ๐’˜๐’† ๐’„๐’‚๐’ ๐’ˆ๐’†๐’• ๐Ÿ’)/(๐‘ป๐’๐’•๐’‚๐’ ๐’๐’–๐’Ž๐’ƒ๐’†๐’“ ๐’๐’‡ ๐’๐’–๐’•๐’„๐’๐’Ž๐’†๐’”) Total outcomes are 1, 2, 3, 4, 5, 6 โˆด Total number of outcomes = 6 And, Number of outcomes where can get 4 = 1 Thus, P(getting a 4) = (๐‘๐‘ข๐‘š๐‘๐‘’๐‘Ÿ ๐‘œ๐‘“ ๐‘œ๐‘ข๐‘ก๐‘๐‘œ๐‘š๐‘’๐‘  ๐‘คโ„Ž๐‘’๐‘Ÿ๐‘’ ๐‘ค๐‘’ ๐‘๐‘Ž๐‘› ๐‘”๐‘’๐‘ก 4)/(๐‘‡๐‘œ๐‘ก๐‘Ž๐‘™ ๐‘›๐‘ข๐‘š๐‘๐‘’๐‘Ÿ ๐‘œ๐‘“ ๐‘œ๐‘ข๐‘ก๐‘๐‘œ๐‘š๐‘’๐‘ ) = ๐Ÿ/๐Ÿ”

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