Mathematics - Probability Question with Solution | TestHub

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

MathematicsMediumsingle choice

A die is thrown $7$ times. What is the probability that an even number turns up at least $4$ times?

Options:

Answer:

Solution:

For atleast $4$ times an even number, probability is

$= {}^{7}C_{4} {(\frac{1}{2})}^{4} {(\frac{1}{2})}^{3} + {}^{4}C_{5} {(\frac{1}{2})}^{5} {(\frac{1}{2})}^{2} + {}^{7}C_{6} {(\frac{1}{2})}^{6} {(\frac{1}{2})}^{1} + {}^{7}C_{7} {(\frac{1}{2})}^{7}$

$= \frac{1}{2}$

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

⏱ 2mℹ️ Source: PYQ_2019

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