TS EAMCET · Maths · Probability
If a group of six students including two particular students A and B stand in a row, then the probability of getting an arrangement in which A and B are separated by exactly one student in between them is
- A \(\frac{2}{15}\)
- B \(\frac{4}{15}\)
- C \(\frac{6}{15}\)
- D \(\frac{8}{15}\)
Answer & Solution
Correct Answer
(B) \(\frac{4}{15}\)
Step-by-step Solution
Detailed explanation
No. of ways to arrange 6 students in row \(=6\) ! Consider group of 3 students consisting \(A\) and \(B\) with 1 boy. Now there are 4 things to be arranged. No. of ways \(=4 ! 2 ! \times{ }^4 C_1\) Probability \(=\frac{{ }^4 C_1 \times 4 ! \times 2 !}{6 !}=\frac{4}{15}\)
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