Suppose $3$ bulbs are selected at random from a lot. Each bulb is tested and classified as defective $(D)$ or non-defective $(N)$. Write the sample space of this experiment.
(N/A) Since each bulb can be either defective $(D)$ or non-defective $(N)$,and there are $3$ bulbs,each bulb has $2$ possible outcomes.
Total number of outcomes $= 2^3 = 8$.
The sample space $S$ is the set of all possible outcomes:
$S = \{ DDD, DDN, DND, DNN, NDD, NDN, NND, NNN \}$
Total number of outcomes $= 2^3 = 8$.
The sample space $S$ is the set of all possible outcomes:
$S = \{ DDD, DDN, DND, DNN, NDD, NDN, NND, NNN \}$
Explore More
Similar Questions
Three coins are tossed once. Let $A$ denote the event 'three heads show',$B$ denote the event 'two heads and one tail show',$C$ denote the event 'three tails show' and $D$ denote the event 'a head shows on the first coin'. Which events are compound?
Easy
View SolutionThe events $A$ and $B$ have probabilities $0.25$ and $0.50$, respectively. The probability that both $A$ and $B$ occur simultaneously is $0.14$. Then, the probability that neither $A$ nor $B$ occurs is:
An experiment consists of rolling a die and then tossing a coin if the number on the die is even. If the number on the die is odd,the coin is tossed twice. Write the sample space for this experiment.
Easy
View Solution$A$ bag contains $7$ green and $5$ black balls. $3$ balls are drawn at random one after the other. If the balls are not replaced,then the probability of all three balls being green is
Two cards are drawn from a pack of $52$ cards. What is the probability that both cards are red or both cards are kings?
Medium
View SolutionVedclass 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