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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CBSE Class 12 Sample Paper for 2022 Boards (For Term 2)
Question 1 (Choice 2)
Question 2 Important
Question 3
Question 4 Important
Question 5
Question 6 Important You are here
Question 7 Important
Question 8 (Choice 1)
Question 8 (Choice 2)
Question 9 Important
Question 10 (Choice 1)
Question 10 (Choice 2)
Question 11 Important
Question 12 (Choice 1)
Question 12 (Choice 2) Important
Question 13 Important
Question 14 - Case Based Important
CBSE Class 12 Sample Paper for 2022 Boards (For Term 2)
Last updated at May 29, 2023 by Teachoo
Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class
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