Question

Suppose that C and D are events such that $P\left(C\right)=0.35$, $P\left(D\right)=0.40$and $P(C\&D)=0.30$ Determine $P(CorD)$

Short answer

$P(C\cup D)=0.45$

Step-by-step solution

Step 1. Given information.  

$$\begin{gathered} P\left(C\right)=0.35 \\ P\left(D\right)=0.40 \\ P(C\&D)=0.30 \end{gathered}$$

Step 2. Calculate the probability in the following manner.

$$\begin{gathered} P(C\cup D)=P\left(C\right)+P\left(D\right)-P(C\cap D) \\ P(C\cup D)=0.35+0.40-.0.30 \\ P(C\cup D)=0.45 \end{gathered}$$