WBJEE · Maths · Probability
A fair coin is tossed at a fixed number of times. If the probability of getting exactly 3 heads equals the probability of getting exactly 5 heads, then the probability of getting exactly one head is
- A \(1 / 64\)
- B \(1 / 32\)
- C \(1 / 16\)
- D \(1 / 8\)
Answer & Solution
Correct Answer
(B) \(1 / 32\)
Step-by-step Solution
Detailed explanation
Let the coin be tossed \(n\) times Let getting head is consider to be success \(\therefore \quad p=\frac{1}{2}, q=1-p=1-\frac{1}{2}=\frac{1}{2}\) It is given that, \(P(X=3)=P(X=5)\)…
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
- If \(\sin ^{-1}\left(\frac{x}{13}\right)+\operatorname{cosec}^{-1}\left(\frac{13}{12}\right)=\frac{\pi}{2},\) then the value of \(x\) isWBJEE 2014 Easy
- The value of \(\lim _{n \rightarrow \infty}\left\{\frac{\sqrt{n+1}+\sqrt{n+2}+\ldots+\sqrt{2 n-1}}{n^{3 / 2}}\right\}\) isWBJEE 2016 Medium
- If the distance between the plane \(a x-2 y+z=k\) and the plane containing the lines \(\frac{x-1}{2}=\frac{y-2}{3}=\frac{z-3}{4}\) and \(\frac{x-2}{3}=\frac{y-3}{4}=\frac{z-4}{5}\) is \(\sqrt{6}\), then \(|k|\) isWBJEE 2023 Medium
- The points \((-a,-b),(a, b),(0,0)\) and \(\left(a^{2}, a b\right), a \neq 0, b \neq 0\) are alwaysWBJEE 2016 Medium
- Let \(f:[1,3] \rightarrow R\) be a continuous function that is differentiable in (1,3) an \(f^{\prime}(x)=|f(x)|^{2}+4\) for all \(x \in(1,3).\) Then,WBJEE 2019 Medium
- Let \(P\) be a variable point on a circle \(C\) and \(Q\) be a fixed point outside \(C\). If \(R\) is the midpoint of the line segment \(P Q\), then locus of \(R\) isWBJEE 2021 Medium
More PYQs from WBJEE
- Which of the following reactions will not result in the formation of carbon-carbon bonds?WBJEE 2016 Easy
- A particle is moving with a constant speed \(v\) in a circle. What is the magnitude of average velocity after half rotation?WBJEE 2011 Easy
- When an \(A C\) source of emf \(E\) with frequency \(\omega=100 \mathrm{~Hz}\) is connected across a circuit, the phase difference between
\(E\) and current I in the circuit is observed to be \(\frac{\pi}{4}\) as shown in the figure. If the circuit consist of only \(\mathrm{RC}\) or \(\mathrm{RL}\) in series, then
WBJEE 2022 Easy -
For two types of magnetic materials \(A\) and \(B\), variation of \(\frac{1}{\chi}\) ( \(\chi:\) susceptibility) vs. temperature \(T\) is shown in the figure. ThenWBJEE 2021 Easy - Let \(A=\left(\begin{array}{lll}1 & 1 & 1 \\ 0 & 1 & 1 \\ 0 & 0 & 1\end{array}\right)\) Then, for positive integer
\(n, A^{n}\) isWBJEE 2017 Medium - \(\mathrm{CH}_{3}-\mathrm{C} \equiv \mathrm{C} \mathrm{MgBr}\) can be prepared by the
reaction ofWBJEE 2018 Easy