Mathematics - Probability Question with Solution | TestHub

MathematicsProbabilityBinomial DistributionMedium2 minQB

MathematicsMediuminteger

A box contains 24 balls of which 12 are black and 12 are white. The balls are drawn at random from the box one at a time with replacement. The probability that a white ball is drawn for the $4^{th}$ time on the $7^{th}$ draw is $K /32$ , then $K =$

Answer:

Solution:

Required probability = Probability of drawing of 3 W \& 3 B balls in first 6 draws and a white ball in $7^{th}$ draw.

$=^{6} C_{3} \cdot \frac{1}{2 ^{7}} = \frac{5}{32}$

Stream:JEESubject:MathematicsTopic:ProbabilitySubtopic:Binomial Distribution

⏱ 2mℹ️ Source: QB

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