2. The sample space of a random experiment is {a, b, c, d, e} with probabilities of 0.1, 0.1, 0.2, 0.4,and 0.2, respectively. Let A denote the event {a,b, d},

and let B denote the event {c, d, e}.Determine the following: \begin{aligned} & \mathbf{P}(\mathbf{A}) \\ & \text{^^20P(B)^^20}\quad \mathbf{P}(\mathbf{A})\quad \mathbf{P}(\mathbf{A}\cup\mathbf{B}) \\ & \mathbf{P(A}\cap\mathbf{B)}\end{aligned}