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Question 6 - CBSE Class 12 Sample Paper for 2022 Boards (For Term 2) - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at May 29, 2023 by

Two cards are drawn at random from a pack of 52 cards one-by-one without replacement. What is the probability of getting first card red and second card Jack?

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Question 6 Two cards are drawn at random from a pack of 52 cards one-by-one without replacement. What is the probability of getting first card red and second card Jack? Now, Probability of getting first card red & second card Jack = Probability first card drawn is red but not red Jack × Probability second card is Jack if first is not a red Jack + Probability first card drawn is red Jack × Probability second card is Jack if first is a red Jack = 𝟐𝟒/𝟓𝟐 × 𝟒/𝟓𝟏 + 𝟐/𝟓𝟐 × 𝟑/𝟓𝟏 = 96/(52 × 51) + 6/(52 × 51) = 102/(52 × 51) = 2/52 = 𝟏/𝟐𝟔

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.