The probability that a random chosen 3 digit number has exactly 3 factors is 900 p (where p ∈ N ) then the value of p is

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

MathematicsEasyinteger

The probability that a random chosen 3 digit number has exactly 3 factors is $\frac{p}{900}$ (where $p \in N$ ) then the value of $p$ is

Answer:

Solution:

A number has exactly 3 factors if the number is squares of a prime number. Squares of 11, 13, 17, 19, 23, 29, 31 are 3-digit numbers

∴ required probability $= \frac{7}{900}$

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

⏱ 2mℹ️ Source: QB

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