$A$ carton consists of $100$ shirts of which $88$ are good,$8$ have minor defects and $4$ have major defects. Jimmy,a trader,will only accept the shirts which are good,but Sujatha,another trader,will only reject the shirts which have major defects. One shirt is drawn at random from the carton. What is the probability that
$(i)$ it is acceptable to Jimmy? $\quad (ii)$ it is acceptable to Sujatha?

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(A) Total number of shirts in the carton $= 100$.
$(i)$ Jimmy accepts only good shirts. The number of good shirts $= 88$.
Therefore,the probability that the shirt is acceptable to Jimmy $= \frac{88}{100} = 0.88$.
$(ii)$ Sujatha rejects only shirts with major defects. This means she accepts shirts that are good and shirts that have minor defects.
Number of shirts acceptable to Sujatha $= 88 + 8 = 96$.
Therefore,the probability that the shirt is acceptable to Sujatha $= \frac{96}{100} = 0.96$.

Explore More

Similar Questions

Which of the following experiments have equally likely outcomes? Explain.
$(i)$ $A$ driver attempts to start a car. The car starts or does not start.
$(ii)$ $A$ player attempts to shoot a basketball. She/he shoots or misses the shot.
$(iii)$ $A$ trial is made to answer a true-false question. The answer is right or wrong.
$(iv)$ $A$ baby is born. It is a boy or a girl.

Difficult
View Solution

$A$ bag contains $5$ red balls and some blue balls. If the probability of drawing a blue ball is double that of a red ball,determine the number of blue balls in the bag.

Difficult
View Solution

$A$ game consists of tossing a one rupee coin $3$ times and noting its outcome each time. Hanif wins if all the tosses give the same result,i.e.,three heads or three tails,and loses otherwise. Calculate the probability that Hanif will lose the game.

$A$ jar contains $24$ marbles,some are green and others are blue. If a marble is drawn at random from the jar,the probability that it is green is $\frac{2}{3}$. Find the number of blue balls in the jar.

If $P(E) = 0.05$,what is the probability of 'not $E$'?

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo