Probability of hitting a target is 13.

Question

Probability of hitting a target is $\dfrac13$. Find the minimum number of independent shots so that the probability of hitting at least once exceeds $\dfrac56$.

Accepted Answer

$$1-\left(\frac23\right)^n>\frac56 \implies \left(\frac23\right)^n<\frac16 \implies n_{\min}=5$$

Solutions · 1