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.

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Answer 1

P(A) = $\frac{1}{3}$
P(A') = $\frac{2}{3}$
P(Bird Killed) = 1 - P(None of 3 shots hit)
$1-$ $\frac{2}{3}$ $\times$ $\frac{2}{3}$ $\times$ $\frac{2}{3}$ = $\frac{19}{27}$