Table of Contents
- 1 What is the negation of A and B?
- 2 What is the negation of an IF THEN statement?
- 3 When two statements are combined by logical connective if then then the compound statement is called?
- 4 When two or more logical statements are connected by logical connective then the new statement is?
- 5 How do you find the probability of two mutually exclusive events?
- 6 What is the negation of if a then B is true?
What is the negation of A and B?
1. The negation of “A or B” is “not(A) and not(B).” 2. The negation of “A and B” is “not(A) or not(B).” 3.
What is the negation of an IF THEN statement?
Negation of “If A, then B”. To negate a statement of the form “If A, then B” we should replace it with the statement “A and Not B”. This might seem confusing at first, so let’s take a look at a simple example to help understand why this is the right thing to do. So the negation of “if A, then B” becomes “A and not B”.
What is negation statement?
In Mathematics, the negation of a statement is the opposite of the given mathematical statement. If “P” is a statement, then the negation of statement P is represented by ~P. The symbols used to represent the negation of a statement are “~” or “¬”. For example, the given sentence is “Arjun’s dog has a black tail”.
What is the negation of p implies q?
not-P or not-Q
The negation of compound statements works as follows: The negation of “P and Q” is “not-P or not-Q”. The negation of “P or Q” is “not-P and not-Q”.
When two statements are combined by logical connective if then then the compound statement is called?
14.1. 15 The biconditional statement If two statements p and q are connected by the connective ‘if and only if’ then the resulting compound statement “pif and only if q” is called a biconditional of p and q and is written in symbolic form as p ↔ q.
When two or more logical statements are connected by logical connective then the new statement is?
compound statements
New statements that can be formed by combining two or more simple statements are called compound statements.
Which of the following statement is the negation of the statement 4 is odd or 9 is positive?
Discussion Forum
| Que. | Which of the following statements is the negation of the statements “4 is odd or -9 is positive”? |
|---|---|
| b. | 4 is odd or -9 is not negative |
| c. | 4 is even and -9 is negative |
| d. | 4 is odd and -9 is not negative |
| Answer:4 is even and -9 is negative |
Can two independent events be mutually exclusive?
If two events are mutually exclusive, they are not independent. Also, independent events cannot be mutually exclusive. In probability theory, two events are mutually exclusive or disjoint if they do not occur at the same time.
How do you find the probability of two mutually exclusive events?
If A and B are said to be mutually exclusive events then the probability of an event A occurring or the probability of event B occurring is given as P(A) + P(B) P (A or B) = P(A) + P(B) Some of the examples of the mutually exclusive events are: When tossing a coin, the event of getting head and tail are mutually exclusive.
What is the negation of if a then B is true?
” (Not B) and A” is the negation of “if A then B”. So yes, your conclusion is correct. if (If (A) then B ) is true, it implies either A is false or if A is true, B must be true.
Is the conclusion of (if a then B ) correct?
“(Not B) and A” is the negation of “if A then B”. So yes, your conclusion is correct. if (If(A) then B ) is true, it implies either A is false or if A is true, B must be true.