Events One of Which equals Union/Examples
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Examples of Use of Events One of Which equals Union
Target of Concentric Circles
Let $T$ be a target which consists of $10$ concentric circles $C_1$ to $C_{10}$ whose radii are respectively $r_k$ for $k = 1, 2, \ldots, 10$.
Let $r_k < r_{k + 1}$ for all $k = 1, 2, \ldots, 9$.
That is, let $C_1$ be the innermost and $C_{10}$ be the outermost.
Let $A_k$ denote the event of hitting $T$ inside the circle of radius $r_k$.
Let $B$ denote the event:
- $B = \displaystyle \bigcup_{k \mathop = 1}^6 A_k$