Let $\Omega$ be the sample space and $A \subseteq \Omega$ be an event. Given below are two statements:
$(S1) : \text{If } P(A) = 0, \text{ then } A = \phi$
$(S2) : \text{If } P(A) = 1, \text{ then } A = \Omega$
Then:
$(S1) : \text{If } P(A) = 0, \text{ then } A = \phi$
$(S2) : \text{If } P(A) = 1, \text{ then } A = \Omega$
Then:
- Aonly $(S1)$ is true
- Bonly $(S2)$ is true
- Cboth $(S1)$ and $(S2)$ are true
- Dboth $(S1)$ and $(S2)$ are false
Explore More
Similar Questions
$A$ box contains $10$ good articles and $6$ defective articles. One article is chosen at random. What is the probability that it is either good or defective?
Easy
View SolutionThree coins are tossed once. Find the probability of getting at least $2$ heads.
Easy
View Solution$A$ coin is tossed $3$ times. The probability of getting exactly two heads is
Easy
View SolutionBoxes $B_1, B_2$,and $B_3$ contain balls as given below:
Box White Black $B_1$ $1$ $2$ $B_2$ $3$ $1$ $B_3$ $2$ $3$
One ball is drawn at random from each box. Then,among the balls drawn,the probability that two are black and one is white,is
| Box | White | Black |
| $B_1$ | $1$ | $2$ |
| $B_2$ | $3$ | $1$ |
| $B_3$ | $2$ | $3$ |
One ball is drawn at random from each box. Then,among the balls drawn,the probability that two are black and one is white,is
The probability for a contractor to get a road contract is $\frac{2}{9}$ and to get a building contract is $\frac{5}{9}$. If the probability to get both the contracts is $\frac{1}{6}$,then what is the probability to get neither of these two contracts?
Vedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo