Two events $A$ and $B$ will be independent if
- A and B are mutually exclusive
- $P(A' \cap B') = (1 - P (A)) (1-P(B))$
- $P (A) = P(B) $
- $ P (A) + P(B) = 1 $
The Correct Option is B
Solution and Explanation
Top Questions on Venn Diagrams
- In a class there are 40 students. 16 passed in Chemistry, 20 passed in Physics, 25 passed in Math. 15 students passed in both Math and Physics.15 students passed in both Math and Chemistry and 10 students passed in both Physics and Chemistry. Find the maximum number of students that passed in all the subjects.
- JEE Main - 2024
- Mathematics
- Venn Diagrams
Which region represents leaders who are neither singers nor Indians?- CUET (PG) - 2023
- Logical Reasoning
- Venn Diagrams
- See the Diagram and think about the right responses. i.e. the figure show
- CUET (PG) - 2023
- Logical Reasoning
- Venn Diagrams
- Which of the following group best represented by the figure below:
(A) Men, Citizens, Educated
(B) Professionals, Doctors, Lawyers
(C) Diseases, Leprosy, Scurvy
(D) Earth, mountain, Forests
(E) Atmosphere, Water, Hydrogen
Choose the correct answer from the options given below:- CUET (PG) - 2023
- Logical Reasoning
- Venn Diagrams
Let f: ℝ → ℝ be defined as
\(f(x) = \left\{ \begin{array}{ll} [e^x] & x < 0 \\ [a e^x + [x-1]] & 0 \leq x < 1 \\ [b + [\sin(\pi x)]] & 1 \leq x < 2 \\ [[e^{-x}] - c] & x \geq 2 \\ \end{array} \right.\)
Where a, b, c ∈ ℝ and [t] denotes greatest integer less than or equal to t.
Then, which of the following statements is true?- JEE Main - 2022
- Mathematics
- Venn Diagrams
Questions Asked in KCET exam
- Ten identical cells each emf 2V and internal resistance 1Ω are connected in series with two cells wrongly connected. A resistor of 10Ω is connected to the combination. What is the current through the resistor?
- KCET - 2023
- Cells in Series and in Parallel
- The speed of sound in an ideal gas at a given temperature T is v. The rms speed of gas molecules at that temperature is vrms. The ratio of the velocities v and vrms for helium and oxygen gases are X and X' respectively. Then \(\frac{X}{X'}\) is equal to
- KCET - 2023
- Thermodynamics
- If \(p(\frac{1}{q}+\frac{1}{r}),q(\frac{1}{r}+\frac{1}{p}),r(\frac{1}{p}+\frac{1}{q})\) are in A.P., then p, q, r
- KCET - 2023
- Arithmetic Progression
- A stretched wire of a material whose Young's modulus Y = 2 × 1011 Nm-2 has Poisson's ratio of 0.25. Its lateral strain εl = 10-3. The elastic energy density of the wire is
- KCET - 2023
- mechanical properties of solids
- A metallic rod of length 1 m held along east-west direction is allowed to fall down freely. Given horizontal component of earth’s magnetic field BH = 3 × 10-5 T. The emf induced in the rod at an instant t = 2s after it is released is ( Take g = 10 ms-2 )
- KCET - 2023
- Faradays laws of induction
Concepts Used:
Venn Diagrams
A Venn diagram can be described as a diagram that is used to represent all possible relations of distinct sets. It can be shown by any closed figure whether by a circle or a polygon. In general, circles are used to represent each set.
U reflects the universal set as a closed rectangle comprised of all the sets. The sets and subsets are shown by making use of circles or oval shapes.
Venn Diagram Symbols:
The symbols used while depicting the operations of sets are:
- Union of sets symbol: ∪
- The intersection of sets symbol: ∩
- Complement of set: A’ or Ac
