3/ An unfair coin is such that when...
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3/ An unfair coin is such that when it is tossed, the head is twice as likely to occur as the tail. If the coin is tossed 3 times, what is the probability of getting 2 tails and I head? (WAEC)

JEE/Engineering Exams
Maths
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( P(H)=2 P(T) ) ( P(H)+P(T)=1 ) ( Rightarrow P(H)=frac{2}{3} ) ( Rightarrow P(T)=frac{1}{3} ) Pobability of 2 tails 8 I head ( =frac{3}{4}left(frac{1}{3}right)^{2}left(frac{2}{3}right) ) ( =3 times frac{1}{9} times frac{2}{3}=frac{2}{9} )
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