Mathematics - Probability Question with Solution | TestHub

MathematicsProbabilityGeneral (Event SS, Definitions, Odd against/Favour)Medium2 minQB

MathematicsMediumsingle choice

Two natural numbers $a$ and $b$ are selected at random. The probability that $a^{2} + b^{2}$ is divisible by 7 is

Options:

Answer:

Solution:

$a_{1} b$ are of the form:

$a_{1} b \in {7 m, 7 m + 1, 7 m + 2, 7 m + 3, 7 m + 4, 7 m + 6} a_{1}^{2} b^{2} \in {7 m_{1}, 7 m_{1} + 1, 7 m_{1} + 4, 7 m_{1} + 2, 7 m_{1} + 2, 7 m_{1} + 4, 7 m_{1} + 1} ∴ a^{2}, b^{2} m u s t b eo f t h e f or m 7 m .$

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

⏱ 2mℹ️ Source: QB

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