MHT CET · Maths · Probability
In a game, 3 coins are tossed. A person is paid ₹150 if he gets all heads or all tails and he is supposed to pay ₹50 if he gets one head or two heads. The amount he can expect to win / lose on an average per game in ₹ is
- A \(100\)
- B \(0\)
- C \(200\)
- D \(-100\)
Answer & Solution
Correct Answer
(B) \(0\)
Step-by-step Solution
Detailed explanation
\( P(\text{all H or all T}) = \frac{2}{8} = \frac{1}{4} \) \( P(\text{1 H or 2 H}) = \frac{6}{8} = \frac{3}{4} \)
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
- \(\tan \left(\frac{\pi}{4}+\frac{1}{2} \cos ^{-1}\left(\frac{\mathrm{a}}{\mathrm{b}}\right)\right)+\tan \left(\frac{\pi}{4}-\frac{1}{2} \cos ^{-1}\left(\frac{\mathrm{a}}{\mathrm{b}}\right)\right)\) isMHT CET 2024 Hard
- If \(I=\int e^{\sin \theta}\left(\log \sin \theta+\operatorname{cosec}^2 \theta\right) \cos \theta d \theta\), then \(I\) is equal toMHT CET 2024 Medium
- In a bank, the principal increases continuously at a rate of \(x \%\) per year. Then the rate, \(x\), if ₹100 double itself in 10 years, is
\((\log 2=0.6931)\)MHT CET 2025 Medium - The set of all points, where the derivative of the functions \(\mathrm{f}(x)=\frac{x}{1+|x|}\) exists, isMHT CET 2023 Medium
- The area of the region bounded by the curves \(\mathrm{y}=|x-4|, x=3\) and \(x=5\), and the X -axis isMHT CET 2025 Medium
- Let \(\mathrm{PQR}\) be a right angled isosceles triangle, right angled at \(\mathrm{P}(2,1)\). If the equation of the line \(\mathrm{QR}\) is \(2 x+y=3\), then the equation representing the pair of lines \(P Q\) and \(P R\) isMHT CET 2023 Medium
More PYQs from MHT CET
- Which one of the following is NOT secreted by corpus luteum?MHT CET 2025 Hard
- A string is stretched between two rigid supports separated by \(75 \mathrm{~cm}\). There are no resonant frequencies between \(420 \mathrm{~Hz}\) and \(315 \mathrm{~Hz}\). The lowest resonant frequency for the string isMHT CET 2023 Medium
- \(\int \frac{x^{2}}{(x \sin x+\cos x)^{2}} d x\) is equal toMHT CET 2011 Hard
- Choose the INCORRECT statement with respect to Jaundice.MHT CET 2023 Easy
- Formation of intrafascicular cambium is induced byMHT CET 2022 Easy
- Derivative of \(\sin ^{-1}\left(\frac{2 x}{1+x^2}\right)\) w.r.t. \(\tan ^{-1} x,-1 < x < 1\) isMHT CET 2022 Hard