[Class 9] A letter is picked at random from the word β€˜PROBABILITY’. - Experimental and Theoretical Probability

part 2 - Example 4 - Experimental and Theoretical Probability - Chapter 7 - The Mathematics of Maybe: Introduction to Probability - Class 9

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Transcript

Example 4 A letter is picked at random from the word β€˜PROBABILITY’. What is the probability of picking the letter B? Now, P(picking a letter B) = (π‘΅π’–π’Žπ’ƒπ’†π’“ 𝒐𝒇 π’π’–π’•π’„π’π’Žπ’†π’” π’˜π’‰π’†π’“π’† π’˜π’† 𝒄𝒂𝒏 𝒍𝒆𝒕𝒕𝒆𝒓 𝑩)/(𝑻𝒐𝒕𝒂𝒍 π’π’–π’Žπ’ƒπ’†π’“ 𝒐𝒇 π’π’–π’•π’„π’π’Žπ’†π’”) The word Probability has 11 letters – P, R, O, B, A, B, I, L, I, T, Y ∴ Total number of outcomes = 11 In the word Probability, we have B two times ∴ Number of outcomes where we can get letter B = 2 Thus, P(picking a letter B) = (π‘π‘’π‘šπ‘π‘’π‘Ÿ π‘œπ‘“ π‘œπ‘’π‘‘π‘π‘œπ‘šπ‘’π‘  π‘€β„Žπ‘’π‘Ÿπ‘’ 𝑀𝑒 π‘π‘Žπ‘› π‘™π‘’π‘‘π‘‘π‘’π‘Ÿ 𝐡)/(π‘‡π‘œπ‘‘π‘Žπ‘™ π‘›π‘’π‘šπ‘π‘’π‘Ÿ π‘œπ‘“ π‘œπ‘’π‘‘π‘π‘œπ‘šπ‘’π‘ ) = 𝟐/𝟏𝟏

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