Latest TCS Aptitude Question SOLUTION: (1) From 52 cards 3 cards drawn randomly prob of getting 1 spade , 1 red queen and 1 black king??

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(1) From 52 cards 3 cards drawn randomly prob of getting 1 spade , 1 red queen and 1 black king??

Asked In TCS (12 years ago)

Unsolved Read Solution (10)

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Read Solution (10) :

Shivendra Bhardwaj  (12 years ago)

13C1*2C1*2C1/52C3 = ANS

Is this solution Helpfull? Yes (27) | No (8)  

Denis  (12 years ago)

Ans can be evaluated as 2 separate conditions
1st
He selects 1 of 12 spades(king removed)
He selects a red queen i.e 1 of 2
He selects a black king again 1 of 2
so total probability= (12C1*2C1*2C1)/52C3
2nd
He selects the king of spade only one way
He selects red queen 1 of 2
He selects the remaining black king one way
so total probability=(1*2C1*1)/52C3
Adding both the totals will give u the ans ie 0.00266

Is this solution Helpfull? Yes (12) | No   

SHANU MAHAJAN  (12 years ago)

probability for spade is 13/52
red queen is 2/51
black king is 2/50
total probability is 13*2*2/52*51*50
= 1/2550
but total combination would be 6
total will be (1/2550) *6 =.00235

Is this solution Helpfull? Yes (8) | No (3)  

partha pratim deb  (12 years ago)

13C1*2C1*1C1/52C3
1 black king involve in the spade series,so just one has left

Is this solution Helpfull? Yes (4) | No (1)  

keyur shah  (12 years ago)

ans is=0.00235
total there are 52 cards so,and we have have to select 3 cards so
n(s)=as ncr = 52 c 3=22100,......(1)
n(e)now e1=1 spade out of 13c1 and
e2=1 red queen so 2c1 and
e3=1 black king 2c1=,so 13*2*2=52 now,
nor our equation n(e)/n(s)=
52/22100 so,ans will be=0.00235.

Is this solution Helpfull? Yes (2) | No (4)  

TAUSEEF AMEEN  (9 years ago)

All are assuming that black king as 2...
but it is not so here..
in this question when we withdraw spade...then along with spade 1 black king will come out.....so in last only 1 black king is left out....
so...
required probablity=(13*2*1)/(52*51*50)=1/1275

Is this solution Helpfull? Yes (2) | No (2)  

Shivendra Bhardwaj  (12 years ago)

1/425 ans.

Is this solution Helpfull? Yes (1) | No (2)  

SHANU MAHAJAN  (12 years ago)

probability for getting spade is 13/52
for red queen will be 2/51
black king will be 1/50
total will be 13*2*2*/52*51*50=1/2550

Is this solution Helpfull? Yes (1) | No (3)  

vivek chauhan  (12 years ago)

can u explain it

Is this solution Helpfull? Yes | No (2)  

sangeetha jayasankar  (9 years ago)

answers is : 1/2250

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