Example 3 - Chapter 13 Class 12 Probability

Last updated at April 16, 2024 by

Slide4.JPG

Slide5.JPG

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) E = {2, 4, 6, 8, 10} P(E) = 5/10 = 𝟏/𝟐 F = {4, 5, 6, 7, 8, 9, 10} P(F) = 𝟕/𝟏𝟎 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

Ask a doubt
Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.