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 Jan. 23, 2022 by Teachoo
Now learn Economics at Teachoo for Class 12
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