Example 3 - Ten cards numbered 1 to 10 are placed in a box - Examples

Slide5.JPG

  1. Chapter 13 Class 12 Probability
  2. Serial order wise
Ask Download

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 ) = 4﷮10﷯ Now, P(E|F) = 𝑃(𝐸 ∩ 𝐹)﷮𝑃(𝐹)﷯ = 4﷮10﷯﷮ 7﷮10﷯﷯ = 4﷮7﷯ ∴ P(E|F) = 𝟒﷮𝟕﷯

About the Author

Davneet Singh's photo - Teacher, Computer Engineer, Marketer
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/.
Jail