Probability PYQs - Last 5 Years
MHT CET / Mathematics / Algebra / 214 recent questions
MathematicsAlgebra2022-2026
Practice 214 MHT CET Mathematics questions from Probability. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.
214
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Mathematics / Algebra
2022-2026
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214
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2022-2026
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Last 5 Years Probability Questions
Showing 14 of 214 filtered questions.
1Probability
If \(\mathrm{A}\) and \(\mathrm{B}\) are two events such that \(\mathrm{P}(\mathrm{A})=\frac{1}{3}, \mathrm{P}(\mathrm{B})=\frac{1}{5}, \mathrm{P}(\mathrm{A} \cup \mathrm{B})=\frac{1}{3}\), then the value of $$\mathrm{P}\left(\mathrm{A}^{\p...
MCQ+2 / -02023
2Probability
A fair die is tossed twice in succession. If \(\mathrm{X}\) denotes the number of fours in two tosses, then the probability distribution of \(\mathrm{X}\) is given by
MCQ+2 / -02023
3Probability
Two cards are drawn successively with replacement from a well-shuffled pack of 52 cards. Then mean of number of tens is
MCQ+2 / -02023
4Probability
Three critics review a book. For the three critics the odds in favor of the book are \(2: 5, 3: 4\) and \(4: 3\) respectively. The probability that the majority is in favor of the book, is given by
MCQ+2 / -02023
5Probability
A player tosses 2 fair coins. He wins ₹5 if 2 heads appear, ₹ 2 if one head appears and ₹ 1 if no head appears. Then the variance of his winning amount in ₹ is :
MCQ+2 / -02023
6Probability
The p.d.f. of a discrete random variable is defined as
$$\mathrm{f}(x)=\left\{\begin{array}{l} \mathrm{k} x^2, 0 \leq x \leq 6 \\ 0, \text { otherwise } \end{array}\right.$$
Then the value of \(F(4)\) (c.d.f) is
$$\mathrm{f}(x)=\left\{\begin{array}{l} \mathrm{k} x^2, 0 \leq x \leq 6 \\ 0, \text { otherwise } \end{array}\right.$$
Then the value of \(F(4)\) (c.d.f) is
MCQ+2 / -02023
7Probability
For a binomial variate \(\mathrm{X}\) with \(\mathrm{n}=6\) if \(P(X=4)=\frac{135}{2^{12}}\), then its variance is
MCQ+2 / -02023
8Probability
A fair die is tossed twice in succession. If \(\mathrm{X}\) denotes the number of sixes in two tosses, then the probability distribution of \(\mathrm{X}\) is given by
MCQ+2 / -02023
9Probability
In a game, 3 coins are tossed. A person is paid ₹ 7 /-, if he gets all heads or all tails; and he is supposed to pay ₹ 3 /-, if he gets one head or two heads. The amount he can expect to win on an average per game is ₹
MCQ+2 / -02023
10Probability
If the sum of mean and variance of a Binomial Distribution is \(\frac{15}{2}\) for 10 trials, then the variance is
MCQ+2 / -02023
11Probability
The three ships namely A, B and C sail from India to Africa. If the odds in favour of the ships reaching safely are \(2: 5,3: 7\) and \(6: 11\) respectively, then probability of all of them arriving safely is
MCQ+2 / -02023
12Probability
The incidence of occupational disease in an industry is such that the workmen have a \(10 \%\) chance of suffering from it. The probability that out of 5 workmen, 3 or more will contract the disease is
MCQ+2 / -02022
13Probability
Two cards are drawn successively with replacement from a well shuffled pack of 52 cards. Then mean of number of kings is
MCQ+2 / -02022
14Probability
If \(P(A \cup B)=0.7, P(A \cap B)=0.2\), then \(P\left(A^{\prime}\right)+P\left(B^{\prime}\right)\) is
MCQ+2 / -02022