Mathematics - Probability Question with Solution | TestHub

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

MathematicsMediumsingle choice

There are ten pairs of shoes in a cup board out or which 4 are picked up at random one after the other. The probability that there is at least one pair is

Options:

Answer:

Solution:

Out of 20 shoes 4 be taken in $^{20} P_{4}$ .

Ways of getting no. pair $= 20 \times 18 \times 16 \times 14$

Probability of no.pair $= \frac{224}{323}$

at least one pair $= 1 - \frac{224}{323} = \frac{99}{323}$

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

⏱ 2mℹ️ Source: QB

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