Question 49

Jambmaths question: 

The probability that a student passes a physics test$\frac{2}{3}$. If he takes three physics test, what is the probability that he passes two of the tests?

Option A: 

$\frac{4}{9}$

Option B: 

$\frac{6}{9}$

Option C: 

$\frac{4}{27}$

Option D: 

$\frac{2}{27}$

Jamb Maths Solution: 

Prob (Passing) =$\frac{2}{3}$

Prob (failing) =$1-\frac{2}{3}=\frac{1}{3}$

Prob(Passing two out of three test) = $prob(Pass)\times prob(pass)\times prob(fail)=\frac{2}{3}\times \frac{2}{3}\times \frac{1}{3}=\frac{4}{27}$

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