AP EAMCET · Maths · Probability
It is observed that there will be 25 blood specimens of normal persons, if 100 blood samples are tested. If 10 specimens are sent to a laboratory for testing, then the probability of having at least two specimens of normal persons is
- A \(1-\frac{13}{4}\left(\frac{3}{4}\right)^{10}\)
- B \(1-\frac{13}{4}\left(\frac{3}{4}\right)^9\)
- C \(1-10\left(\frac{3}{4}\right)^{10}\)
- D \(1-\left(\frac{3}{4}\right)^{10}-10\left(\frac{3}{4}\right)^9 \frac{1}{4}-45\left(\frac{3}{4}\right)^8\left(\frac{1}{4}\right)^2\)
Answer & Solution
Correct Answer
(B) \(1-\frac{13}{4}\left(\frac{3}{4}\right)^9\)
Step-by-step Solution
Detailed explanation
The probability of selecting a normal specimen from a pool of 100 blood samples is \(\frac{25}{100}=\frac{1}{4}\) \[ \therefore \mathrm{P}=\frac{1}{4} \] \[ q=1-\frac{1}{4}=\frac{3}{4} \] No. of trials \(=\mathrm{n}=10\)…
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 \(2 f(\sin x)+f(\cos x)=x\), then \(f^{\prime}(x)=\)AP EAMCET 2020 Easy
- If the lengths of the tangents drawn from \(P\) to the circles \(x^2+y^2-2 x+4 y-20=0\) and \(x^2+y^2-2 x-8 y+1=0\) are in the ratio \(2: 1\), then the locus \(P\) isAP EAMCET 2018 Easy
- In \(\triangle \mathrm{ABC}\), if \(\tan \frac{\mathrm{A}}{2}+\tan \frac{\mathrm{C}}{2}=\frac{\mathrm{b}}{\mathrm{s}}\), then \(\sin \left(\frac{\mathrm{A}+\mathrm{C}}{3}\right)=\)AP EAMCET 2023 Hard
- Assertion (A) \(f(x)=|x|\) is differentiable at \(x=a \neq 0\) and continuous but not differentiable at \(x=0\)
Reason (R) If a function is differentiable at a point, then it is continuous at the point. But converse is not true.AP EAMCET 2022 Easy - The pair of lines joining the origin to the points of intersection of the line \(x-y=2\) with the curve \(5 x^2+12 x y-8 y^2+8 x-4 y+12=0\) are equally inclined to the pair of linesAP EAMCET 2017 Hard
- The circle \(x^2+y^2+4 x-4 y+4=0\) touches...AP EAMCET 2021 Easy
More PYQs from AP EAMCET
- A Carnot engine whose heat sink is at has an efficieny of . By how much should its source temperature be changed so as to increase its efficiency to ?AP EAMCET 2021 Medium
- If \(f(x)=\sqrt{x+\sin x}\), then all the points of the set \(\left\{(x, f(x)) / f^{\prime}(x)=0\right\}\) lie onAP EAMCET 2023 Medium
- A cricket ball hits the ground with a speed of \(5 \mathrm{~m} \mathrm{~s}^{-1}\) making an angle \(30^{\circ}\) with the horizontal. If the coefficient of restitution is 0.2 , the speed of the reflected ball in \(\mathrm{m} \mathrm{s}^{-1}\) is
AP EAMCET 2022 Medium - The correct order of electron gain enthalpy of \(\mathrm{N}, \mathrm{O}, \mathrm{Cl}\), \(\mathrm{Al}\) isAP EAMCET 2023 Easy
- The conductivity of \(0.001 \mathrm{M}\) acetic acid at a certain temperature is \(5.07 \times 10^{-5} \mathrm{~S} \mathrm{~cm}^{-1}\). If \(\wedge_m^0\) of acetic acid at the same temperature is \(390 \mathrm{~S} \mathrm{~cm}^2 \mathrm{~mol}^{-1}\), the dissociation constant of acetic acid at that temperature is:AP EAMCET 2017 Medium
- The rms velocity of oxygen molecules of \(27^{\circ} \mathrm{C}\) is around \(800 \mathrm{~m} / \mathrm{s}\). The rms velocity of methane molecule at \(600 \mathrm{~K}\) temperature is around ......AP EAMCET 2020 Medium