Mathematics - Probability Question with Solution | TestHub

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

MathematicsMediumsingle choice

The probability that $sin^{- 1} (sin x) + cos^{- 1} (cos y)$ is an integer $x, y \in {1, 2, 3, 4}$ is

Answer:

Solution:

$Sin^{- 1} (sin x) + cos^{- 1} (cos y)$ to be integer $x \in [- \frac{π}{2} \frac{π}{2}]$ and

$y \in [0 π] \Rightarrow x = 1$ and $y = 1, 2, 3$ . required probability $= \frac{3}{16}$ .

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

⏱ 2mℹ️ Source: QB

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