TCS
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Numerical Ability
Probability
(1) From 52 cards 3 cards drawn randomly prob of getting 1 spade , 1 red queen and 1 black king??
Read Solution (Total 10)
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- 13C1*2C1*2C1/52C3 = ANS
- 12 years agoHelpfull: Yes(27) No(8)
- 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 - 12 years agoHelpfull: Yes(12) No(0)
- 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 - 12 years agoHelpfull: Yes(8) No(3)
- 13C1*2C1*1C1/52C3
1 black king involve in the spade series,so just one has left - 12 years agoHelpfull: Yes(4) No(1)
- 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. - 12 years agoHelpfull: Yes(2) No(4)
- 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 - 9 years agoHelpfull: Yes(2) No(2)
- 1/425 ans.
- 12 years agoHelpfull: Yes(1) No(2)
- 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 - 12 years agoHelpfull: Yes(1) No(3)
- can u explain it
- 12 years agoHelpfull: Yes(0) No(2)
- answers is : 1/2250
- 9 years agoHelpfull: Yes(0) No(0)
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