WBJEE · Maths · Probability
4 boys and 2 girls occupy seats in a row at random. Then the probability that the two girls occupy seats side by side is
- A \(\frac{1}{2}\)
- B \(\frac{1}{4}\)
- C \(\frac{1}{3}\)
- D \(\frac{1}{6}\)
Answer & Solution
Correct Answer
(C) \(\frac{1}{3}\)
Step-by-step Solution
Detailed explanation
\(\begin{gathered} \text {Hints: } \mathrm{n}(\mathrm{e})=\lfloor 5 \cdot\lfloor 2 \\ \mathrm{n}(\mathrm{s})=\lfloor 6 \\ \mathrm{p}=\frac{\lfloor 5 \cdot \lfloor 2}{\lfloor 6}=\frac{2}{6}=\frac{1}{3} \end{gathered}\)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- The letters of the word 'COCHIN' are permuted and all the permutations are arranged in alphabetical order as in English dictionary. The number of words that appear before the word 'COCHIN', isWBJEE 2015 Easy
- \(f(x)=x+|x|\) is continuous forWBJEE 2009 Medium
- If \(A=\left\{5^{n}-4 n-1: n \in N\right\}\) and
\(B=\{16(n-1): n \in N],\) thenWBJEE 2016 Easy - If \((2+i)\) and \((\sqrt{5}-2 i)\) are the roots of the equation \(\left(x^{2}+a x+b\right)\left(x^{2}+c x+d\right)=0\) where \(a, b, c\) and \(d\) are real constants, then product of all the roots of the equation isWBJEE 2015 Easy
- If the matrix \(M_r\) is given by \(M_r=\left(\begin{array}{cc}r & r-1 \\ r-1 & r\end{array}\right)\) for \(r=1,2,3, \ldots\) then \(\operatorname{det}\left(\mathrm{M}_1\right)+\operatorname{det}\left(\mathrm{M}_2\right)+\ldots . .+\operatorname{det}\left(\mathrm{M}_{2008}\right)=\)WBJEE 2023 Medium
- The probability that a non-leap year selected at random will have 53 Sunday isWBJEE 2017 Medium
More PYQs from WBJEE
- 2 gm of metal carbonate is neutralized completely by \(100 \mathrm{ml}\) of \(0.1(\mathrm{~N}) \mathrm{HCl}\). The equivalent weight of metal carbonate isWBJEE 2011 Medium
- The atomic masses of helium and neon are \(4.0\) and \(20.0\) amu respectively. The value of the de Broglie wavelength of helium gas at \(-73^{\circ} \mathrm{C}\) is \(\mathrm{M}\) times the de Broglie wavelength of neon at \(727^{\circ} \mathrm{C}\). The value of \(\mathrm{M}\) isWBJEE 2021 Medium
- Which one of the following electronic arrangements is absurd?WBJEE 2019 Medium
- Which of the following statements about the \(\mathrm{S}_{\mathrm{N}} 2\) reaction mechanism is/are true?WBJEE 2024 Hard
- If \(x+\log _{10}\left(1+2^{x}\right)=x \log _{10} 5+\log _{10} 6,\) then
the value of \(x\) isWBJEE 2018 Medium - Consider the system of equations
\(\begin{array}{cc}
x+y+z & =0 \\
\alpha x+\beta y+\gamma z & =0 \\
\alpha^{2} x+\beta^{2} y+\gamma^{2} z & =0
\end{array}\)
Then the system of equations hasWBJEE 2013 Easy