3 votes 3 votes Two cards are drawn together from a pack of 52 cards, What is the probability that One is spade and other is king?? Aboveallplayer asked Aug 12, 2016 Aboveallplayer 686 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
Best answer 5 votes 5 votes case 1 spade king and spade or non-spade king and spade (1/52 x 12/51 +3/52 x 13/51)=51/52 x51=1/52 case 2 spade x non spade king or spade and spade king (13/51 x 3/51 + 12/51 x 1/52) =51/52x51=1/52 total prob =1/52+1/52 =1/26 ans Sanjay Sharma answered Aug 12, 2016 selected Aug 13, 2016 by Aboveallplayer Sanjay Sharma comment Share Follow See 1 comment See all 1 1 comment reply Neelesh Pandey commented Sep 11, 2016 reply Follow Share what if both are same,ie,in only one attempt we get spade king and spade card too? 0 votes 0 votes Please log in or register to add a comment.
2 votes 2 votes Total sample space = 52C2 No. of spade = 13 No. of king = 4 so probability = (13 * 4 ) / 52C2 Prashant. answered Aug 12, 2016 edited Aug 12, 2016 by Prashant. Prashant. comment Share Follow See all 0 reply Please log in or register to add a comment.
1 votes 1 votes With Replacement: $\frac{_{1}^{13}\textrm{C} *_{1}^{4}\textrm{C} }{_{1}^{52}\textrm{C} *_{1}^{52}\textrm{C} }$ Without Replacement: $\frac{(_{1}^{1}\textrm{C} *_{1}^{3}\textrm{C})+(_{1}^{12}\textrm{C}*_{1}^{4}\textrm{C})) }{_{2}^{52}\textrm{C} }$ srestha answered Aug 12, 2016 edited Aug 12, 2016 by srestha srestha comment Share Follow See all 6 Comments See all 6 6 Comments reply Show 3 previous comments vijaycs commented Aug 12, 2016 reply Follow Share @udditpto , I think ans should be p= 1/26 ... 1 votes 1 votes srestha commented Aug 12, 2016 reply Follow Share yes and that case without replacement will be the answer @vijay 1 votes 1 votes vijaycs commented Aug 12, 2016 i edited by vijaycs Aug 12, 2016 reply Follow Share Yes @Srestha... :) And With replacement - $\frac{2*(12C2 * 4C1 + 1C1 * 3C1) +1}{52C1*52C1}$ where, 2* 12C2 * 4C1 - > In first throw its a spade but not king and in 2nd throw its a king and vice versa. 2 *1C1 *3C1 - > In first throw its a king without spade and in 2nd throw its a king with spade..and vice-versa. 1 - > In first throw its a king with spade and in 2nd throw its same card as first one. Check please.. 2 votes 2 votes Please log in or register to add a comment.