0 votes 0 votes Two cards are drawn from a pack of 52 cards. The probability that they are a king and a queen is? a)16/260 b)26/260 c)16/1326 d)8/1326 Probability probability + – Nandkishor3939 asked Jan 8, 2019 Nandkishor3939 621 views answer comment Share Follow See all 12 Comments See all 12 12 Comments reply Nandkishor3939 commented Jan 8, 2019 reply Follow Share Whats wrong in (4/52 ) * (4/51)?? the answer i am getting is 8/1326 which is wrong !! Please help me get this 0 votes 0 votes Lakshman Bhaiya commented Jan 8, 2019 reply Follow Share what is the answer? case is with replacement or without replacement? 0 votes 0 votes Nandkishor3939 commented Jan 8, 2019 reply Follow Share Answer is option c Nothing mentioned in the question I took without replacement as the replacement answer was not even close 0 votes 0 votes anjali007 commented Jan 8, 2019 reply Follow Share @Nandkishor3939 case 1: 1st card is queen 2 king case 2: 1st card is king 2 is queen so Final ans is = 2*8/1326=16/1326 4 votes 4 votes Navneet Kalra commented Jan 8, 2019 reply Follow Share anjali007 yes this will be the approach 0 votes 0 votes Nandkishor3939 commented Jan 8, 2019 i edited by Nandkishor3939 Jan 8, 2019 reply Follow Share Ohh thank you @anjali007 BTW the answer which was given in the solution was: (4C1)(4C1)/(52C2) which i did't got logically ..... 0 votes 0 votes Ravi kumar singh commented Jan 8, 2019 reply Follow Share @anjali007 It is not given that the card drawn are one at a time so how can you consider 2 cases:- 1)1st King 2nd Queen 2)1st Queen 2nd King 0 votes 0 votes Nandkishor3939 commented Jan 8, 2019 i edited by Nandkishor3939 Jan 8, 2019 reply Follow Share Yeah You got a point here... Btw can you explain the this formula with real significance (4C1)(4C1)/(52C2) 0 votes 0 votes Ravi kumar singh commented Jan 8, 2019 i edited by Ravi kumar singh Jan 8, 2019 reply Follow Share I think the answer is 16/1326. (4C1)(4C1)/(52C2) is correct. (4C2)(4C2)/(52C2) is wrong bcoz you are saying in Numerator that you are selecting 4(2+2) but in Denominator you are selecting only 2 out of all. For instance (aCx)(bCy)/(cCz) then according to combination x+y=z this must be true everytime 0 votes 0 votes Nandkishor3939 commented Jan 8, 2019 reply Follow Share Sorry for my mistake the answer given is what you said (4C1)(4C1)/(52C2) but my real concern is how can we do this by using some actual logic and not formula as in 2 * (8/1326) 0 votes 0 votes Nandkishor3939 commented Jan 8, 2019 reply Follow Share Answer given is (4C1)(4C1)/(52C2)=16/1326 0 votes 0 votes Ravi kumar singh commented Jan 8, 2019 i edited by Ravi kumar singh Jan 8, 2019 reply Follow Share Logic is simple AND-Multiplication( (4C1)(4C1)/(52C2) and sorry for my mistake ans is 16/1326 only) OR-Addition Given in question (king and queen) 0 votes 0 votes Please log in or register to add a comment.