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Mathematics - Probability Question with Solution | TestHub

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

MathematicsMediumsingle choice

A box contains 5 pairs of shoes. If 6 shoes are selected at random, the probability that exactly one pair of shoes is obtained is

Options:

Answer:

Solution:

From 10 shoes, 6 can be selected in $1 0_{C_{6}}$ ways and if there is to be one pair among them if can be selected in $5_{C_{1}}$ ways. Other 4 shoes can be selected in $4_{C_{4}} (2^{4}) = 16$ ways.

Hence probability $= \frac{5 \times 16}{1 0 _{C_{6}}} = \frac{8}{21}$

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

⏱ 2mℹ️ Source: QB

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