A Place for Latest Exam wise Questions, Videos, Previous Year Papers, Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
4
From a lot containing $10$ defective and $90$ non-defective bulbs, $8$ bulbs are selected one by one with replacement.
Then the probability of getting at least $7$ defective bulbs is:
Solution
$P(\text{defective})=\frac{10}{100}=\frac{1}{10}$
Required probability
$=P(7\text{ defective})+P(8\text{ defective})$
$=\binom{8}{7}\left(\frac{1}{10}\right)^7\left(\frac{9}{10}\right)+\left(\frac{1}{10}\right)^8$
$=\frac{8\cdot9}{10^8}+\frac{1}{10^8}$
$=\frac{72+1}{10^8}=\frac{73}{10^8}$
Online Test Series, Information About Examination, Syllabus, Notification and More.