Question

The probability that a person will hit a target in shooting practice is $0.3$ If he shoots $10$ times, then the probability of his shooting the target is

• A. $1$
• B. $1-{\left(0.7\right)}^{10}$
• C. ${\left(0.7\right)}^{10}$
• D. ${\left(0.3\right)}^{10}$

Answer 1

The correct option is B

$1-{\left(0.7\right)}^{10}$

It is given that$,$

The probability that a person will hit a target $=0.3$

The probability that a person will not hit a target $=1-0.3$

$=0.7$

The probability of not hitting the target in $10$ attempts $=0.7^{10}$

Then the probability of hitting the target in $10$ attempts $=1-0.7^{10}$

Hence$,$ option $\left(B\right)$ is the answer.