A, B, C independently hit a target with probabilities 34,12,58.

Question

A, B, C independently hit a target with probabilities $\dfrac34,\dfrac12,\dfrac58$. Find the probability the target is hit by A or B but not by C.

Accepted Answer

$$P = \left[P(A)+P(B)-P(A)P(B)\right]\times P(\overline C) = \left(\frac34+\frac12-\frac38\right)\times\frac38 = \frac78\times\frac38=\frac{21}{64}$$

Solutions · 1