Mathematics - Probability Question with Solution | TestHub

MathematicsProbabilityGeometrical ProbabilityHard2 minPYQ_2022

MathematicsHardsingle choice

If a point $A (x, y)$ lies in the region bounded by the $y$ -axis, straight lines $2 y + x = 6$ and $5 x - 6 y = 30$ , then the probability that $y < 1$ is

Options:

Answer:

Solution:

Plotting the diagram of the given straight line we get,

Now by diagram, required probability $= \frac{ar (A D E C)}{ar (A B C)}$

$= 1 - \frac{ar (B D E)}{ar (A B C)}$

$= 1 - \frac{\frac{1}{2} \times 2 \times 4}{\frac{1}{2} \times 8 \times 6} = 1 - \frac{1}{6} = \frac{5}{6}$

Stream:JEESubject:MathematicsTopic:ProbabilitySubtopic:Geometrical Probability

⏱ 2mℹ️ Source: PYQ_2022

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