Aptitude - Probability - Discussion
Discussion Forum : Probability - General Questions (Q.No. 7)
7.
In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is:
Answer: Option
Explanation:
Let S be the sample space and E be the event of selecting 1 girl and 2 boys.
Then, n(S) | = Number ways of selecting 3 students out of 25 | |||
= 25C3 ` | ||||
|
||||
= 2300. |
n(E) | = (10C1 x 15C2) | ||||||
|
|||||||
= 1050. |
![]() |
n(E) | = | 1050 | = | 21 | . |
n(S) | 2300 | 46 |
Discussion:
54 comments Page 4 of 6.
Mahesh babu said:
1 decade ago
Because he asked 10 girls (and) 15 boys.
Sanjana said:
1 decade ago
If they ask for same collections for example (a bag contains 6 white and 4 black balls.two balls are drawn at random.find the probability that they are of same color) here they are askin for same color in this case we have to use "+" i.e, 6c2+4c2
but here in a above problem they have tld us to select 1 girl out of 10 girls and 2 boys out of 15 boys.and here its not of same combination they are askin for both boy and gal.in this case we have to use "*" i.e, 10C1 x 15C2
Note tat: if its same color or combination go for "+"
If its different combination go for "*"
but here in a above problem they have tld us to select 1 girl out of 10 girls and 2 boys out of 15 boys.and here its not of same combination they are askin for both boy and gal.in this case we have to use "*" i.e, 10C1 x 15C2
Note tat: if its same color or combination go for "+"
If its different combination go for "*"
Prabhat said:
1 decade ago
Nice explanation sanjana.
Abhi said:
1 decade ago
I solved this problem as
(10/25)*(15/24)*(14/23)
because 1st select 1 girl from 10 out of total 25 students, then 1 boy from 15 out of remaining 24 then again 1 boy from 14 boys and total remainig 23 students.... i got 7/46 as my ans.....
Can anyone please tell me whats wrong? please..
(10/25)*(15/24)*(14/23)
because 1st select 1 girl from 10 out of total 25 students, then 1 boy from 15 out of remaining 24 then again 1 boy from 14 boys and total remainig 23 students.... i got 7/46 as my ans.....
Can anyone please tell me whats wrong? please..
Kruvy said:
1 decade ago
You got the Point @Abhi .. :-)
However I cannot help you in this. As I have no clue about is this a right method and robust to solve same kind of problem...??!
Help us.
And I Like this site. Appreciate it @IndiaBix.
However I cannot help you in this. As I have no clue about is this a right method and robust to solve same kind of problem...??!
Help us.
And I Like this site. Appreciate it @IndiaBix.
Swetha said:
1 decade ago
Thanks sanjana.
Al Ford said:
1 decade ago
I have a similar problem. Can anyone explain how to answer this: A class contains 7 women and 7 men. Suppose we choose three random students. How many ways can we choose exactly 1 woman?
RAJA said:
1 decade ago
Very good sanjana.
Superprofessor Extraordinaire said:
1 decade ago
The answer above is wrong. There are 3 ways to get 1 girl and 2 boys when choosing 3: (1)BBG, (2)BGB, (3)GBB. Probability of observing outcome (1) is 15/25*15/25*10/25=.6*.6*.4=.144.The probability of observing outcome (2) is 15/25*10/25*1/25=.6*.4*.6=.144. The probability of observing outcome (3) is 10/25*10/25*15/25=.4*.6*.6=.144.
Sum the three possible outcomes to get the probablity of the event .144+.144+.144=.432.
This is just a binomial probability where the probability of a success, say choosing a boy is 15/25=.6 and we want to know the probability of getting 2 boys in 3 chance, which is .432.
Sum the three possible outcomes to get the probablity of the event .144+.144+.144=.432.
This is just a binomial probability where the probability of a success, say choosing a boy is 15/25=.6 and we want to know the probability of getting 2 boys in 3 chance, which is .432.
Shyam said:
1 decade ago
@Abhi.
I have the same problem. I am getting 7/46 But by formula the answer is given as 21/46. I solved it by (10/25) * (15/24) * (14/23).
Please anyone explain on this query.
I have the same problem. I am getting 7/46 But by formula the answer is given as 21/46. I solved it by (10/25) * (15/24) * (14/23).
Please anyone explain on this query.
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers