Example 3 - Chapter 13 Class 12 Probability (Term 2)
Last updated at May 25, 2021 by Teachoo
Transcript
Example 3 Ten cards numbered 1 to 10 are placed in a box, mixed up thoroughly and then one card is drawn randomly. If it is known that the number on the drawn card is more than 3, what is the probability that it is an even number? Ten card numbered 1 to 10 are placed in a box S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} Let E: Event that the number on the drawn card is even F: Event that the number on the drawn card is more than 3. We need to find P(E|F) Also, E ∩ F = { 4, 6, 8, 10 } So, P(E ∩ F ) = 410 Now, P(E|F) = 𝑃(𝐸 ∩ 𝐹)𝑃(𝐹) = 410 710 = 47 ∴ P(E|F) = 𝟒𝟕
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Chapter 13 Class 12 Probability (Term 2)
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About the Author
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.