Latest Elitmus Aptitude Question SOLUTION: A bag contains 8 white and 4 red balls.Five balls are drawn at random.What is the probability that two of them are red and 3 are white?

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(#M40039419) ELITMUS Numerical Ability question probability Keep an EYE

A bag contains 8 white and 4 red balls.Five balls are drawn at random.What is the probability that two of them are red and 3 are white?

Asked In Elitmus karan (9 years ago)

Unsolved Read Solution (17)

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Read Solution (17) :

Pranoy Bej  (9 years ago)

five balls taken at random = 12C5
probability of two red and 3 white = (4C2*8C3)/12C5 = 14/33

Is this solution Helpfull? Yes (64) | No (1)  

veer kumar  (9 years ago)

p(event)=(number of event)/(total ways)
8 white and 4 red=>total =12
and event is to draw 5 balls from 12 balls(selection)
=>total ways=12c5(read it as select 5 balls from 12 balls)=792
now event is draw 2 red from 4 red balls(4c2=6) and 3 white balls from 8 white balls(8c3=56)
so p(event)=(6*56)/(792)=14/33

Is this solution Helpfull? Yes (8) | No   

komal gupta  (9 years ago)

(4c2*8c3)/12c5=14/33

Is this solution Helpfull? Yes (3) | No   

bablu kumar  (9 years ago)

8C3*4C2/12C5=14/33

Is this solution Helpfull? Yes (3) | No   

Bharti jain  (9 years ago)

(8c5 * 4c2)/12c5=14/33

Is this solution Helpfull? Yes (2) | No (3)  

vishal kumar  (9 years ago)

sample space=12c5
events=8c3 * 4c2
result=event/ss

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

pradeep kumar  (9 years ago)

how ball can be drown: rrwww
rwrwww
rwwrw
rwwwr
wrwwr
wwrwr
wwwrr........
so (4/12*3/11*8/10*7/9*6/8)*7=49/165

Is this solution Helpfull? Yes (1) | No (8)  

AMIT KUMAR  (9 years ago)

4c2*8c3/12c5

Is this solution Helpfull? Yes (1) | No   

Kanchan Gupta  (9 years ago)

(6*7*8)/6+(4*3)/2=62

Is this solution Helpfull? Yes | No (2)  

Ati Goyal  (9 years ago)

(8c3 * 4c2)/12c5 = 14/99

Is this solution Helpfull? Yes | No (1)  

g.gouthami  (9 years ago)

(8c3)*(4c2)=336

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Naidu  (9 years ago)

(8c3)*(4c2)=336

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vinod  (9 years ago)

ans is equals to 0.4242442

Is this solution Helpfull? Yes | No (1)  

harshavi  (9 years ago)

8c5*4c2=possibilities in which the balls are red and white.
total no of possibilities are 12c5
p=(8c5*4c2)/12c5

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prem  (9 years ago)

selecting 2 balls as red then selection can be made in 4c2 ways...and selecting three balls as white from box can be done in 8c3 ways...thus the answer is 4c2*8c3/12c5

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amit  (9 years ago)

(8c3*4c2)/12c5 and it also multiply by 2! becouse selection can be done in 2 ways so answer is (14/33)*2 = 28/33

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Aditya Sinha  (6 years ago)

why haven't we multiplied it with 5! here ?

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