Mathematics - Probability Question with Solution | TestHub

MathematicsProbabilityGeneral (Event SS, Definitions, Odd against/Favour)Medium2 minPYQ_2019

MathematicsMediumsingle choice

Cards are drawn one by one at random from a well shuffled pack of $52$ cards until $2$ aces are obtained for the first time. The probability that $18$ draws are required for this is

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Answer:

Solution:

$18$ draws are required for $2$ aces means in the first $17$ draws, there is one ace and $16$ non-ace and $18^{th}$ draw $2^{nd}$ ace.

Required probability $= \frac{{}^{48}C_{16} \times {}^{4}C_{1}}{{}^{52}C_{17}} \times \frac{3}{35} = \frac{561}{15925}$

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

⏱ 2mℹ️ Source: PYQ_2019

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