Question

The probability that a marksman will hit a target is given as 1/5. Then his probability at least one hit in 10 shots is.

• A. $1-{\left(\frac{4}{5}\right)}^{10}$
• B. $\frac{1}{5}$
• C. $1-\frac{1}{5},$
• D. none of these.

Answer 1

The correct option is A $1-{\left(\frac{4}{5}\right)}^{10}$

Here given $n=10,p=\frac{1}{5}$
Event of hitting the target is independent to each other.
Hence required probability is $=1-P(X=0)=1{-}^{10}{C}_0{\left(\frac{4}{5}\right)}^{10}=1-{\left(\frac{4}{5}\right)}^{10}$