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Experimental/Empirical Probability

The probabili...

Question

The probability that a bomb will hit a target is $0.8$ . Find the probability that out of $10$ bombs dropped, exactly $4$ will hit the target.

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Solution

Let $r$ be the number of bombs hit the target
$p = 0.8 ⟹ q = 1 - 0.8 = 0.2$
Probability $P (r = 4) =^{10} C_{4} (0.8)^{4} (0.2)^{6} = 0.0055$

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