Mathematics - Probability Question with Solution | TestHub

MathematicsProbabilityAddition theoremMedium2 minQB

MathematicsMediumsingle choice

A fair coin is tossed until one of the two sides occurs twice in a row, The Probability that the number of tosses required is even is

Answer:

Solution:

$A = {HH, HTHH, HTHTHH, \dots .$ . And $B = {TT, THTT, THTHTT, \dots .} . P (A) = \frac{1}{2 ^{2}} + \frac{1}{2 ^{4}} + \dots . = \frac{1}{3}$

$P (B) = \frac{1}{3}$

Required Probability $= \frac{1}{3} + \frac{1}{3}$

Stream:JEESubject:MathematicsTopic:ProbabilitySubtopic:Addition theorem

⏱ 2mℹ️ Source: QB

Loading discussions...