Example 6
Last updated at March 11, 2017 by Teachoo
Transcript
Example 6 A die is thrown twice and the sum of the numbers appearing is observed to be 6. What is the conditional probability that the number 4 has appeared at least once? A dice is thrown twice S = We need to find the Probability that 4 has appeared at least once, given the sum of nos. is observed to be 6 Let F : Sum of numbers is 6 E : 4 Has appeared at least once We need to find P(E|F) Also, E ∩ F = {(2,4), (4,2)} P(E ∩ F) = 236 Now, P(E|F) = 𝑃(𝐸 ∩ 𝐹)𝑃(𝐹) = 236 536 = 𝟐𝟓 ∴ Required probability is 25
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Chapter 13 Class 12 Probability
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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 7 years. He provides courses for Mathematics and Science from Class 6 to 12. You can learn personally from here https://www.teachoo.com/premium/maths-and-science-classes/.
