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In the BBA Programme of a B-School, there are two sections X and Y, 1/4th of the students in Section X and 4/9th of the students in section Y are girls. If two students are chosen at random, one each from section X and Section Y as class representative, the probability that exactly one of the students chosen is a girl is:
  • a)
    23/72        
  • b)
    11/36        
  • c)
    5/12        
  • d)
    17/36
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In the BBA Programme of a B-School, there are two sections X and Y, 1/...
Selecting a girl from section X
and section Y is 1/4 and 4/9 respectively
Selecting a boy from section X and section Y is 3/4  and 5/9 respectively
Case 1 — A girl from section X and a boy from section  Y

Case 2 — A girl from section X and a boy from section Y
Required probability = P1 + P2 = 17/36 
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Most Upvoted Answer
In the BBA Programme of a B-School, there are two sections X and Y, 1/...

Probability of selecting exactly one girl as class representative

- Let's first calculate the total number of students in section X and Y:
Total students in Section X = 4/4 = 1 (girls) + 3 (boys) = 4
Total students in Section Y = 9/4 = 4 (girls) + 5 (boys) = 9

- Next, let's calculate the probability of selecting one girl and one boy as class representatives:
Probability of selecting one girl and one boy = (1/4 * 5/9) + (3/4 * 4/9) = 1/9 + 1/3 = 4/9

- Finally, let's calculate the probability of selecting exactly one girl as a class representative:
Probability of exactly one girl = Total probability - Probability of selecting one girl and one boy = 1 - 4/9 = 5/9

Therefore, the correct answer is option 'D' - 17/36.
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In the BBA Programme of a B-School, there are two sections X and Y, 1/4th of the students in Section X and 4/9th of the students in section Y are girls. If two students are chosen at random, one each from section X and Section Y as class representative, the probability that exactly one of the students chosen is a girl is:a)23/72 b)11/36 c)5/12 d)17/36Correct answer is option 'D'. Can you explain this answer?
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