1
JEE Main 2021 (Online) 24th February Evening Slot
+4
-1
The probability that two randomly selected subsets of the set {1, 2, 3, 4, 5} have exactly two elements in their intersection, is :
A
$${{135} \over {{2^9}}}$$
B
$${{65} \over {{2^8}}}$$
C
$${{65} \over {{2^7}}}$$
D
$${{35} \over {{2^7}}}$$
2
JEE Main 2021 (Online) 24th February Morning Slot
+4
-1
An ordinary dice is rolled for a certain number of times. If the probability of getting an odd number 2 times is equal to the probability of getting an even number 3 times, then the probability of getting an odd number for odd number of times is :
A
$${5 \over {36}}$$
B
$${3 \over {16}}$$
C
$${1 \over 2}$$
D
$${1 \over {32}}$$
3
JEE Main 2020 (Online) 6th September Evening Slot
+4
-1
The probabilities of three events A, B and C are given by
P(A) = 0.6, P(B) = 0.4 and P(C) = 0.5.
If P(A$$\cup$$B) = 0.8, P(A$$\cap$$C) = 0.3, P(A$$\cap$$B$$\cap$$C) = 0.2, P(B$$\cap$$C) = $$\beta$$
and P(A$$\cup$$B$$\cup$$C) = $$\alpha$$, where 0.85 $$\le \alpha \le$$ 0.95, then $$\beta$$ lies in the interval :
A
[0.35, 0.36]
B
[0.20, 0.25]
C
[0.25, 0.35]
D
[0.36, 0.40]
4
JEE Main 2020 (Online) 6th September Morning Slot
+4
-1
Out of 11 consecutive natural numbers if three numbers are selected at random (without repetition), then the probability that they are in A.P. with positive common difference, is :
A
$${{10} \over {99}}$$
B
$${{5} \over {33}}$$
C
$${{15} \over {101}}$$
D
$${{5} \over {101}}$$
JEE Main Subjects
Physics
Mechanics
Electricity
Optics
Modern Physics
Chemistry
Physical Chemistry
Inorganic Chemistry
Organic Chemistry
Mathematics
Algebra
Trigonometry
Coordinate Geometry
Calculus
EXAM MAP
Joint Entrance Examination
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Medical
NEET