A policeman fires 6 bullets on a dacoit. The probability that the dacoit will be killed by a bullet is 0·6. What is the probability that the dacoit is still alive?

Solution

Here n = 6, p = 0.6 $equals space 6 over 10 equals space 3 over 5 comma space space straight q space equals space 1 minus straight p space equals space 1 minus 3 over 5 space equals space 2 over 5$
P(dacoit is still alive) = P(0) = $straight C presuperscript 6 subscript 0 space open parentheses 2 over 5 close parentheses to the power of 6 space equals space 1 space cross times space left parenthesis 0.4 right parenthesis to the power of 6 space equals space 0.0041$

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Probability

A policeman fires 6 bullets on a dacoit. The probability that the dacoit will be killed by a bullet is 0·6. What is the probability that the dacoit is still alive?

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