Arjun can kill a bird once in 3 shots. On the assumption that he fires 3 shots,

Question

Arjun can kill a bird once in 3 shots. On the assumption that he fires 3 shots, the probability that the bird is killed is

\frac{x}{27}

. Find the value of x.
___

Answer:
:
P(A) =

\frac{1}{3}

P(A') =

\frac{2}{3}

P(Bird Killed) = 1 - P(None of 3 shots hit)

1 -

\frac{2}{3}

\times

\frac{2}{3}

\times

\frac{2}{3}

\frac{19}{27}

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