Question:
Which of the following statement regarding the probability of an event is correct?
Which of the following statement regarding the probability of an event is correct?
Show Hint
The probability of an event \(E\), denoted as \(P(E)\), is always between 0 and 1, i.e., \(0 \leq P(E) \leq 1\).
Updated On: May 13, 2025
- Probability of an event is always negative.
- Probability of an event is always between 0 and 1.
- Probability of an event is always greater than 1.
- Probability of an event is always greater than 0.
Hide Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Step 1: Recall the definition of probability.
The probability of an event \(E\), denoted as \(P(E)\), satisfies the condition: \[ 0 \leq P(E) \leq 1. \] This means that the probability of any event is always between 0 and 1, inclusive. Step 2: Analyze the options.
Option (1) is incorrect because probability cannot be negative.
Option (2) is correct because \(P(E)\) is always between 0 and 1.
Option (3) is incorrect because probability values cannot be greater than 1.
Option (4) is incorrect because there are events with zero probability, meaning they cannot occur.
Step 3: Conclude the correct answer.
Thus, the correct answer is Option (2): Probability of an event is always between 0 and 1.
The probability of an event \(E\), denoted as \(P(E)\), satisfies the condition: \[ 0 \leq P(E) \leq 1. \] This means that the probability of any event is always between 0 and 1, inclusive. Step 2: Analyze the options.
Option (1) is incorrect because probability cannot be negative.
Option (2) is correct because \(P(E)\) is always between 0 and 1.
Option (3) is incorrect because probability values cannot be greater than 1.
Option (4) is incorrect because there are events with zero probability, meaning they cannot occur.
Step 3: Conclude the correct answer.
Thus, the correct answer is Option (2): Probability of an event is always between 0 and 1.
Was this answer helpful?
0
0
Top Questions on Set Theory
- What is the probability of getting a number 7 in a single throw of a dice?
- If one card is selected from a well-shuffled deck of 52 cards, then the probability of getting an ace card is:
Let \( S = \{p_1, p_2, \dots, p_{10}\} \) be the set of the first ten prime numbers. Let \( A = S \cup P \), where \( P \) is the set of all possible products of distinct elements of \( S \). Then the number of all ordered pairs \( (x, y) \), where \( x \in S \), \( y \in A \), and \( x \) divides \( y \), is _________.
- JEE Main - 2025
- Mathematics
- Set Theory
- The number of non-empty equivalence relations on the set \(\{1,2,3\}\) is :
- JEE Main - 2025
- Mathematics
- Set Theory
- The number of reflexive relations on a set \( A \) of \( n \) elements is equal to:
- WBJEE - 2025
- Mathematics
- Set Theory
View More Questions
Questions Asked in TS POLYCET exam
- The distance of point (2, 4) from the x-axis is?
- TS POLYCET - 2025
- Arithmetic Progressions
- In a chloroplast, which of the following sites trap solar energy?
- TS POLYCET - 2025
- Photosynthesis — Food Making Process In Plants
- What is the liquid portion that forms after the blood clot?
- The process of mastication of the food in the mouth leads to the formation of which substance?
- TS POLYCET - 2025
- Digestion In Humans
- For absorbing plant juices an Aphid pierces its proboscis into which part of the plant?
- TS POLYCET - 2025
- Xylem and phloem structure
View More Questions