Probability PYQs - Last 5 Years
WB JEE / Mathematics / Algebra / 15 recent questions
MathematicsAlgebra2022-2026
Practice 15 WB JEE Mathematics questions from Probability. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.
15
PYQs on Page
Mathematics / Algebra
2022-2026
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Based on indexed question metadata
15
Last 5 Years
2022-2026
15
Last 10 Years
2017-2026
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15PYQs
MCQ86.7%
MCQM13.3%
Difficulty Mix
#1 Unknown15
15 in last 5 years15 in last 10 years
Last 5 Years Probability Questions
Showing 15 of 15 filtered questions.
1Probability
If ' $a$ ' is an integer lying in $[-5,30]$, then the probability that the graph of $y=x^2+2(a+4) x-5 a+64$ lies above the $x-$ axis is
MCQ+1 / -0.252026
2Probability
If $A_1, A_2, A_3, \ldots, A_{1006}$ be independent events such that $P\left(A_l\right)=\frac{1}{2 i},(i=1,2, \ldots, 1006)$ and the probability that none of the events occurs be $\frac{\alpha!}{2^a(\beta!)^2}$ ，then
MCQM+2 / -02026
3Probability
Consider the sequence of numbers $(1,2,3, \ldots \ldots, 13)$. A person choose three numbers at random from the sequence. The probability that the chosen three number form an A.P. is
MCQ+1 / -0.252026
4Probability
A mapping is selected at random from all mappings $f: A \rightarrow A$, where set $A=\{1,2,3 \ldots, n\}$. If the probability that the mapping is injective is $\frac{3}{32}$, then the value of $n$ is
MCQ+1 / -0.252026
5Probability
Four natural numbers selected at random are multiplied together, then the probability that the digit in the unit's place in the product be $1,3,7$ or 9 is
MCQ+2 / -0.52026
6Probability
Three numbers are chosen at random without replacement from $\{1,2, \ldots 10\}$. The probability that the minimum of the chosen numbers is 3 or their maximum is 7 , is
MCQM+2 / -02025
7Probability
The probability that a non-leap year selected at random will have 53 Sundays or 53 Saturdays is
MCQ+2 / -0.52025
8Probability
If $E$ and $F$ are two independent events with $P(E)=0.3$ and $P(E \cup F)=0.5$, then $P(E / F)-P(F / E)$ equals
MCQ+1 / -0.252025
9Probability
A biased coin with probability \(\mathrm{p}(0<\mathrm{p}<1)\) of getting head is tossed until a head appears for the first time. If the probability that the number of tosses required is even is \(\frac{2}{5}\), then \(\mathrm{p}=\)
MCQ+1 / -0.252024
10Probability
Two integers \(\mathrm{r}\) and \(\mathrm{s}\) are drawn one at a time without replacement from the set \(\{1,2, \ldots, \mathrm{n}\}\). Then \(\mathrm{P}(\mathrm{r} \leq \mathrm{k} / \mathrm{s} \leq \mathrm{k})=\)
(k is an integer < n)
(k is an integer < n)
MCQ+1 / -0.252024
11Probability
Two smallest squares are chosen one by one on a chess board. The probability that they have a side in common is
MCQ+1 / -0.252024
12Probability
Let S be the sample space of the random experiment of throwing simultaneously two unbiased dice and \(\mathrm{E_k=\{(a,b)\in S:ab=k\}}\). If \(\mathrm{p_k=P(E_k)}\), then the correct among the following is :
MCQ+1 / -0.252023
13Probability
Let A and B are two independent events. The probability that both A and B happen is \({1 \over {12}}\) and probability that neither A and B happen is \({1 \over 2}\). Then
MCQ+1 / -0.252023
14Probability
A determinant is chosen at random from the set of all determinants of order 2 with elements 0 or 1 only. The probability that the determinant chosen is non-zero is
MCQ+1 / -0.252022
15Probability
A, B, C are mutually exclusive events such that \(P(A) = {{3x + 1} \over 3}\), \(P(B) = {{1 - x} \over 4}\) and \(P(C) = {{1 - 2x} \over 2}\). Then the set of possible values of x are in
MCQ+1 / -0.252022