JEE Main 2016 — Probability Question with Solution
From: JEE Main 2016 (Online) 10th April Morning Slot
Question
An experiment succeeds twice as often as it fails. The probability of at least 5 successes in the six trials of this experiment is :
Choose an option
Show full solutionCorrect option: C
Correct answer
C
Step-by-step explanation
Probability of fail, P(F) = p
Probability of success, P(S) = 2p
We know,
p + 2Pp = 1
p =
Now, probability of at least 5 success in 6 trials,
P(x 5)
= P(x = 5) + P (x = 6)
= 6C5
=
=
Probability of success, P(S) = 2p
We know,
p + 2Pp = 1
p =
Now, probability of at least 5 success in 6 trials,
P(x 5)
= P(x = 5) + P (x = 6)
= 6C5
=
=
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This is a previous-year question from JEE Main 2016, 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.