Question icon
Grade Upto college level Algebra

4 persons are chosen at random from a group of 3 men, 2 women, 3 children. Find the probability that out of 4 choice, exactly 2 are children.

Profile image of Manvendra Singh chahar
12 Years agoGrade Upto college level
Answers icon

4 Answers

Profile image of SHAIK AASIF AHAMED
12 Years ago
Hello student,
Probability that out of 4 exactly 2 children is = (3c2)(5c2)/8c4
=30/70=3/7
Thanks and Regards
Shaik Aasif
askIITians faculty
Profile image of Saaraansh Mishra
8 Years ago
Sir your answer is wrong.It is 10/21.As it was given by a book of fiitjee . So your answer is wrong. Please provide us a valid solution.
Profile image of Kritika Jain
8 Years ago
Can anyone please help me with this one?
Answer is 10/21 and the no. Of children in the group are 4 not 3
Profile image of Ranganatha
8 Years ago
Selecting 2 children is 4C2=6Selecting 2 Non children (3M+2W)= 5C2=10Total ways of selecting 4 persons=9C4=126Probability is (6×10)/126=60/126=10/21