9709 P6 - Jun 2004 - Q3
2958
Two fair dice are thrown. Let the random variable \(X\) be the smaller of the two scores if the scores are different, or the score on one of the dice if the scores are the same.
(i) Copy and complete the following table to show the probability distribution of \(X\).
| \(x\) | 1 | 2 | 3 | 4 | 5 | 6 |
|---|---|---|---|---|---|---|
| \(P(X = x)\) |
(ii) Find \(\mathbb{E}(X)\).
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