CUET · MATHS · PYQ PAPER 2025
In a game, a person is paid Rs. \(2\) if he gets all heads or all tails when three coins are tossed and he will pay Rs. \(2\) if either one or two heads show. What can he expect to win on an average per game?
- A Lose Rs. \(1\) per toss of the coins.
- B Win Rs. \(1\) per toss of the coins.
- C Lose Rs. \(2\) per toss of the coins.
- D No profit, no loss.
Answer & Solution
Correct Answer
(A) Lose Rs. \(1\) per toss of the coins.
Step-by-step Solution
Detailed explanation
Total outcomes \( = 2^3 = 8 \). P(all heads or all tails) \( = \frac{2}{8} = \frac{1}{4} \). P(one or two heads) \( = \frac{6}{8} = \frac{3}{4} \). Expected Winnings \( = (2 \times \frac{1}{4}) + (-2 \times \frac{3}{4}) \). Expected Winnings…
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
- Ravi's speed of rowing in still water is 6 km/hr
The speed of the stream is 3 km/hr
He rows between two points in a river and returns to the same point
He took 30 minutes more to cover the distance upstream than downstream
Find the distance between the two pointsCUET 2025 Easy - Three mangoes and three apples are kept in a box. If two fruits are selected at random from the box, the probability that the selection will contain one mango and one apple is :CUET 2023 Easy
- For finding absolute maximum and minimum values of a function \(f\) given by
\(f(x)=2 x^3-15 x^2+36 x+1 \text { on }[1,5]\)
A. the critical points in \((1,5)\) are 2 and 3 .
B. the absolute maximum value of \(f\) on \([1,5]\) is 29 .
C. the absolute minimum value of \(f\) on \([1,5]\) is 24 .
D. the absolute minimum value of \(f\) on \([1,5]\) is 20 .
E. we evaluate the value of \(f\) at critical points and at the end points of the interval \([1,5]\).
Choose the correct answer from the options given below:CUET 2023 Hard - The set of values of \(x\) satisfying \(26 \equiv 5(\bmod x)\) is __________ .CUET 2023 Easy
- The corner points of the bounded feasible region determined by a set of constraints in an LPP are P(0,5), Q(3,5), R(5, 0) and S(4, 1).
If the objective function is z = ax + 2by where a, b > 0 then the condition on a and b such that the maximum value of z occurs at Q and S isCUET 2025 Easy - The point which lies in the half plane \(2 x-y \geq 6\) is:CUET 2023 Easy
More PYQs from CUET
- If \(V=\frac{4 \pi r^3}{3}\), at what rate in cubic units \(/ sec\) is V increasing when \(r=10\), and \(\frac{d r}{d t}=0.01 ?\)CUET 2023 Easy
- Tears from eyes prevent microbial growth. This innate immunity is a kind ofCUET 2023 Medium
- Match List I with List II
LIST-I LIST-II A. Polariser I. Myopia B. Convex lens II. Communication C. Concave lens III. Simple Microscope D. Optical fibre IV. Sunglasses
Choose the correct answer from the options given below:CUET 2023 Easy - Gause's 'Competitive Exclusion Principle' states that -CUET 2025 Easy
- The binomial distribution for which the mean is 5 and variance 4, isCUET 2025 Medium
- Amongst the following ions which one has the highest magnetic moment value?CUET 2023 Easy