MHT CET · Maths · Probability
The probability that a student is not a swimmer is \(\frac{1}{5}\). The probability that out of 5 students selected at random 4 are swimmers is
- A \(\left(\frac{4}{5}\right)^4\)
- B \(\left(\frac{4}{5}\right)^4\left(\frac{1}{5}\right)\)
- C \(\left(\frac{4}{5}\right)^5 \times \frac{1}{5}\)
- D \(\left(\frac{4}{5}\right)^3 \times \frac{1}{5^2}\)
Answer & Solution
Correct Answer
(A) \(\left(\frac{4}{5}\right)^4\)
Step-by-step Solution
Detailed explanation
\(P(\text{swimmer}) = 1 - \frac{1}{5} = \frac{4}{5}\) \(P(4 \text{ swimmers}) = C(5, 4) \left(\frac{4}{5}\right)^4 \left(\frac{1}{5}\right)^{5-4}\)
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 point on the curve \(4 y^2-4 y+2 x-1=0\) at which the tangent becomes parallel toY-axis isMHT CET 2025 Medium
- If \(X\) is a r. v. with c. d. f. \(F(x)\) and its probability distribution is given by
then, \(\mathrm{F}(1 \cdot 5)-\mathrm{F}(-0 \cdot 5)=\)MHT CET 2020 Medium - The particular solution of the differential equation \(y(1+\log x)=\left(\log x^x\right) \frac{d y}{d x}\), when \(y(e)=e^2\) isMHT CET 2021 Medium
- \(\int \frac{d x}{1+\sqrt{x}}=\)MHT CET 2020 Medium
- The equation of the circle, concentric with the circle \(x^2+y^2-6 x-4 y-12=0\) and touching the X -axis isMHT CET 2024 Easy
- The value of \(\lim _{x \rightarrow 0} \frac{\cos (\sin x)-\cos x}{x^{4}}\) is equal toMHT CET 2007 Hard
More PYQs from MHT CET
- Calculate the quantity of electricity required to liberate \(0.224 \mathrm{dm}^3\) of chlorine at STP during the electrolysis of fused sodium chloride?MHT CET 2025 Medium
- Identify the product ' \(\mathrm{B}\) ' in following reaction.
\(2 \mathrm{CH}_3 \mathrm{CHO} \stackrel{\text { dil.NaOH }}{\longrightarrow} \mathrm{A} \underset{-\mathrm{H}_2 \mathrm{O}}{\stackrel{\Delta}{\longrightarrow}} \mathrm{B}\)MHT CET 2021 Medium - A line \(\mathrm{L}_1\) passes through the point, whose p. v. (position vector) \(3 \hat{\mathrm{i}}\), is parallel to the vector \(-\hat{\mathrm{i}}+\hat{\mathrm{j}}+\hat{\mathrm{k}}\). Another line \(\mathrm{L}_2\) passes through the point having p.v. \(\hat{i}+\hat{j}\) is parallel to vector \(\hat{i}+\hat{k}\), then the point of intersection of lines \(L_1\) and \(L_2\) has p.v.MHT CET 2023 Medium
- Let \(y=y(x)\) be the solution of the differential equation \(x \frac{\mathrm{~d} y}{\mathrm{~d} x}+y=x \log x,(x\gt1)\)
If \(2(y(2))=\log 4-1\) then the value of \(y(\mathrm{e})\) isMHT CET 2024 Hard - Which of the following molecules has zero dipole moment?MHT CET 2024 Medium
- How many gram of dihydrogen is required to react with dinitrogen to produce \(34 \mathrm{~g}\) of ammonia?MHT CET 2020 Hard