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Numerical Ability
Probability
Two cards are drawn at random from a pack of 52 cards.what is the probability that either both are black or both are queen?
Read Solution (Total 11)
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- 2 cards drawn from 52 cards,so chances are 52C2
chances for drawing both black cards=26C2
chances for drawing both queen=4C2
so we will be having 2 queens in black cards,thus it is 2C2 which is 1
probability=(325+6-1)/1326=55/221
- 12 years agoHelpfull: Yes(42) No(0)
- in a pack of 52 cards, we have 26 black cards in which there are two queens included. We have two more red queens that makes a total of 4 queens. Now favourable cases are (26C2 + 4C2) and total possible no. of cases in which 2 cards can be drawn are 52C2.
hence required probability = (26C2 + 4C2)/52C2 - 12 years agoHelpfull: Yes(9) No(13)
- meghana if u dont mind could u please stop posting ur answers
- 10 years agoHelpfull: Yes(7) No(2)
- the probability for both cards are black= 26/52*25/51
the two black queens are considered in previous case
therefore the another probability is only for two red queens =2/52*1/51
the total probability= 26/52*25/51 + 2/52*1/51 =163/663 - 12 years agoHelpfull: Yes(4) No(9)
- We have n(s)=52c2=(52*51)/(2*1)=1326.
Let A=event of getting both black cards
B=event of getting both queens
A&B=event of getting queen of black cards
n(A)=26c2=(26*25)/(2*1)=325,
n(B)=4c2=(4*3)/(2*1)=6 and
n(A&B)=2c2=1
P(A)=n(A)/n(S)=325/1326;
P(B)=n(B)/n(S)=6/1326 and
P(A&B)=n(A&B)/n(S)=1/1326
P(AUB)=P(A)+P(B)-P(A&B)=(325+6-1/1326)=330/1326=55/221
- 11 years agoHelpfull: Yes(3) No(1)
- the answer is 331/1326
- 12 years agoHelpfull: Yes(2) No(8)
- probability for
both cards are black => 26/52*25/51 = 25/102
- 12 years agoHelpfull: Yes(2) No(11)
- 30-2=18/52
- 12 years agoHelpfull: Yes(1) No(17)
- 26C2+4C2/52C2=331/1326
- 9 years agoHelpfull: Yes(1) No(1)
- ((2652)*(25/51))+((4/52)*(3/51))
- 10 years agoHelpfull: Yes(0) No(1)
- Ans. 26/52*25/51+ 4/52*3/51-2/52
- 9 years agoHelpfull: Yes(0) No(0)
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