17 A game consists of spinning a circular wheel divided into numbered sectors as shown below.
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On each spin the score, \(X\), is the value shown in the sector that the arrow points to when the spinner stops.
The probability of the arrow pointing at a sector is proportional to the angle subtended at the centre by that sector.
17
- Show that \(\mathrm { P } ( X = 1 ) = \frac { 5 } { 18 }\)
17 - Complete the probability distribution for \(X\) in the table below.
| \(\boldsymbol { x }\) | 1 | | | |
| \(\mathbf { P } ( \boldsymbol { X } = \boldsymbol { x } )\) | \(\frac { 5 } { 18 }\) | | | |