Question

Suppose $3$ bulbs are selected at random from a lot. Each bulb is tested and classified as defective $\left(D\right)$ or non – defective $\left(N\right)$. Write the sample space of this experiment.

Answer 1

Given:
$3$ bulbs are selected at random from a lot. Each bulb is tested and classified as defective $\left(D\right)$ or non $-$ defective $\left(N\right)$.

$1^{st}$ bulb	$2^{nd}$ bulb	$3^{rd}$ bulb
$D$	$D$	$D$
$D$	$D$	$N$
$D$	$N$	$D$
$D$	$N$	$N$
$N$	$D$	$D$
$N$	$D$	$N$
$N$	$N$	$D$
$N$	$N$	$N$

To check the bulb is defective or non- defective, total possible outcomes are $(DDD,DDN,DND,DNN,NDD,NDN,NND,NNN)$

Hence the Sample space is $S=\{DDD,DDN,DND,DNN,NDD,NDN,NND,NNN\}$.