Mathematics - Probability Question with Solution | TestHub

MathematicsProbabilityGeneral (Event SS, Definitions, Odd against/Favour)Medium2 minPYQ_2021

MathematicsMediumsingle choice

The probability that two randomly selected subsets of the set ${1, 2, 3, 4, 5}$ have exactly two elements in their intersection, is:

Answer:

Solution:

Total subsets $= 2^{5} = 32$

Probability $= \frac{{}^{5}C_{2} \times 3^{3}}{32 \times 32} = \frac{10 \times 27}{2^{10}} = \frac{135}{2^{9}}$

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

⏱ 2mℹ️ Source: PYQ_2021

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