Ex 13.2, 2 - Two cards are drawn at random from a pack of 52 - Ex 13.2

Slide3.JPG
Slide4.JPG

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

Transcript

Ex 13.2, 2 Two cards are drawn at random and without replacement from a pack of 52 playing cards. Find the Probability that both the cards are black. Two cards are drawn at random without replacement from a pack of 52 cards, we need to find the Probability that both the cards are black Let the events be E : first card drawn is black F : second card drawn is black Probability both the cards drawn are black = Probability first card drawn is black Probability second card drawn is black, given first card drawn is black So, P(E F) = P(E) P(F|E) Now, P(E) = Probability first card drawn is black There are 26 black cards in a pack of 52 cards P(E) = 26 52 = 1 2 P(F|E) = Probability second card drawn is black, given first is black If first card drawn is black, 51 cards are left in the pack and out of them, 25 black cards are left P(F|E) = 25 51 Now, P(E F) = P(F|E) P(E) = 25 51 1 2 = Probability that both cards drawn are black is 25 102

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 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.