GATE CSE 1997 | Probability Question 63 | Discrete Mathematics

GATE CSE 1997

MCQ (Single Correct Answer)

-0.3

The probability that it will rain today is 0.5. The probability that it will rain tomorrow is 0.6. The probability that it will rain either today or tomorrow is 0.7. That is the probability that it will rain today and tomorrow?

0.3

0.25

0.35

0.4

GATE CSE 1996

MCQ (Single Correct Answer)

-0.3

Two dice are thrown simultaneously. The probability that at least one of them will have 6 facing up is

$${1 \over {36}}$$

$${1 \over {3}}$$

$${25 \over {36}}$$

$${11\over {36}}$$

GATE CSE 1995

MCQ (Single Correct Answer)

-0.3

The probability that a number selected at random between $$100$$ and $$999$$ (both inclusive ) will not contain the digit $$7$$ is

$${{16} \over {25}}$$

$${\left( {{9 \over {10}}} \right)^3}$$

$${{27} \over {75}}$$

$${{18} \over {25}}$$

GATE CSE 1994

MCQ (Single Correct Answer)

-0.3

Let A and B be any two arbitrary events, then, which one of the following is true?

$$P\,(A\, \cap \,B)\, = \,P\,(A)\,P\,(B)$$

$$P\,(A\, \cup \,B)\, = \,P\,(A)\, + \,P\,(B)$$

$$P\,(A\,\left| {B) = \,} \right.P\,(A\, \cap \,B)\,P\,(B)$$

$$P\,(A\, \cup \,B)\, < \,\,P\,(A)\, + \,P\,(B)$$

GATE CSE Subjects

Theory of Computation

Undecidability Finite Automata and Regular Language Push Down Automata and Context Free Language Recursively Enumerable Language and Turing Machine

Operating Systems

Process Concepts and Cpu Scheduling Synchronization and Concurrency Deadlocks Memory Management File System IO and Protection

Algorithms

Complexity Analysis and Asymptotic Notations Searching and Sorting Divide and Conquer Method Greedy Method P and NP Concepts Dynamic Programming

Digital Logic

Number Systems Boolean Algebra K Maps Combinational Circuits Sequential Circuits

Database Management System

Structured Query Language Transactions and Concurrency Functional Dependencies and Normalization Relational Algebra File Structures and Indexing Er Diagrams

Data Structures

Trees Hashing Arrays Linked List Graphs Stacks and Queues

Computer Networks

Network Security Data Link Layer and Switching Application Layer Protocol Network Layer Routing Algorithm Concepts of Layering Lan Technologies and Wi-Fi TCP UDP Sockets and Congestion Control

Software Engineering

Compiler Design

Lexical Analysis Parsing Syntax Directed Translation Code Generation and Optimization

Web Technologies

General Aptitude

Numerical Ability Verbal Ability

Discrete Mathematics

Graph Theory Set Theory & Algebra Combinatorics Mathematical Logic Probability Linear Algebra Calculus

Programming Languages

Basic of Programming Language Function and Recursion Pointer and Structure in C

Computer Organization

Computer Arithmetic Memory Interfacing Machine Instructions and Addressing Modes IO Interface Pipelining Alu Data Path and Control Unit Secondary Memory