JEE Main 2019MathematicsProbabilityClassical Defininition Of ProbabilityeasyMCQ

JEE Main 2019Probability Question with Solution

From: JEE Main 2019 (Online) 8th April Evening Slot

Question

The minimum number of times one has to toss a fair coin so that the probability of observing at least one head is at least 90% is :

Choose an option

Show full solutionCorrect option: C
Correct answer
C4

Step-by-step explanation

Probablity of getting head P(H) =

Probablity of getting tail P(T) = 1 - =

Probability of observing at least one head out of n tosses

= 1 - Probability of observing no head occurs out of n tosses

= 1 -

According to the question,

1 -





As 23 = 8

24 = 16

Minimum value of n = 4

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About this question

This is a previous-year question from JEE Main 2019, 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.