JEE Main 2011 — Probability Question with Solution
From: AIEEE 2011
Question
Consider independent Bernoulli's trials each with probability of success If the probability of at least one failure is greater than or equal to then lies in the interval :
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
Here is 5 trials.
So according to Bernoulli trial n = 5
P( at least one failure) = 1 - P( no failure)
According to question,
1 - P( no failure)
1 - P( x = 5 )
[Note: no failure = all success]
1 -
1 -
Note: can not be less than 0 as probability is always 0 and 1.
So according to Bernoulli trial n = 5
P( at least one failure) = 1 - P( no failure)
According to question,
1 - P( no failure)
1 - P( x = 5 )
[Note: no failure = all success]
1 -
1 -
Note: can not be less than 0 as probability is always 0 and 1.
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This is a previous-year question from JEE Main 2011, covering the Probability chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.