Mathematics - Probability Question with Solution | TestHub

MathematicsProbabilityGeneral (Event SS, Definitions, Odd against/Favour)Easy2 minPYQ_2021

MathematicsEasysingle choice

Words with or without meaning are to be formed using all the letters of the word $EXAMINATION$ . The probability that the letter $M$ appears at the fourth position in any such word is:

Options:

Answer:

Solution:

We have,

$EXAMINATION$

$AAEIIMNNOTX$

Given word has $A' s \to 2, I' s \to 2, N' s \to 2$ and rest other are distinct alphabets.

Total number of ways to form words using the alphabets of $EXAMINATION$ is

$= \frac{11!}{2! \cdot 2! \cdot 2!}$

Now, putting $M$ at $4^{th}$ position

. $- - - M - - - -$

Total words with $M$ at fourth Place $= \frac{10!}{2! 2! 2!}$

Required probability $= \frac{10!}{11!} = \frac{1}{11}$

Stream:JEESubject:MathematicsTopic:ProbabilitySubtopic:General (Event SS, Definitions, Odd against/Favour)

⏱ 2mℹ️ Source: PYQ_2021

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