TS EAMCET · Maths · Probability
If a coin is tossed seven times, then the probability of getting exactly three heads such that no two heads occur consecutively is
- A \(\frac{5}{64}\)
- B \(\frac{5}{32}\)
- C \(\frac{5}{128}\)
- D \(\frac{35}{128}\)
Answer & Solution
Correct Answer
(A) \(\frac{5}{64}\)
Step-by-step Solution
Detailed explanation
Total outcomes = \(2^7=128\) Favorable outcomes (no two heads consecutive) = \( \binom{7-3+1}{3} = \binom{5}{3} = \frac{5 \times 4}{2 \times 1} = 10 \) Probability = \( \frac{10}{128} = \frac{5}{64} \)
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 general solution of isTS EAMCET 2021 Easy
- If \(z=\frac{(2-i)(1+i)^3}{(1-i)^2}\), then \(\operatorname{Arg}(z)=\)TS EAMCET 2024 Medium
- If the foot of the perpendicular drawn from the point \((2,0,-3)\) to the plane \(\pi\) is \((1,-2,0)\) and the equation of the plane \(\pi\) is \(a x+b y-3 z+d=0\) then \(a+b+d=\)TS EAMCET 2025 Medium
- If \(\cos x+\cos y=\frac{2}{3}\) and \(\sin x-\sin y=\frac{3}{4}\) then \(\sin (x-y)+\cos (x-y)=\)TS EAMCET 2024 Hard
- The area of the region (in sq. units) enclosed by the curves \(y=8 x^3-1, y=0, x=-1\) and \(x=1\) isTS EAMCET 2024 Medium
- If are the points of contact of the tangents drawn from the point to the circle and the chord subtends an angle at thenTS EAMCET 2022 Medium
More PYQs from TS EAMCET
- The \(\theta\) is the angle made by the common tangent to the circle \(x^2+y^2=16\) and the ellipse \(\frac{x^2}{25}+\frac{y^2}{9}=1\) with positive \(X\)-axis, then \(\cos 2 \theta=\)TS EAMCET 2020 Medium
- Two short magnets \(A B\) and \(C D\) are in the \(X-Y\) plane and are parallel to \(X\)-axis and co-ordinates of their centres respectively are \((0,2)\) and \((2,0)\). Line joining the north-south poles of \(C D\) is opposite to that of \(A B\) and lies along the positive \(X\)-axis. The resultant field induction due to \(A B\) and \(C D\) at a point \(P(2,2)\) is \(100 \times 10^{-7} \mathrm{~T}\). When the poles of the magnet \(C D\) are reversed, the resultant field induction is \(50 \times 10^{-7} \mathrm{~T}\). The value of magnetic moments of \(A B\) and \(C D\) (in \(\mathrm{Am}^2\) ) are :TS EAMCET 2006 Hard
- In which of the following options, molecules are correctly arranged with respect to their bond angles.TS EAMCET 2023 Medium
- If \(\cos x=\tan y, \cot y=\tan z\) and \(\cot z=\tan x\), then \(\sin x\) equals toTS EAMCET 2014 Hard
- For any quadratic polynomial it is true that
where is any real number.
If and thenTS EAMCET 2021 Medium - The electrostatic potential inside a charged sphere is given as \(V=A r^2+B\), where \(r\) is the distance from the centre of the sphere, \(A\) and \(B\) are constants. Then, the charge density in the sphere isTS EAMCET 2016 Hard