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The game UNO uses cards which have two characteristics: each card has a colour (yellow, red, green or blue) and a number (from 0 to

  1. The game UNO uses cards which have two characteristics: each card has a colour (yellow, red, green or blue) and a number (from 0 to 9). There are some other special cards which don't concern us here. Suppose we design a simple game using only UNO cards with the numbers 0, 1 or 2 and define the score using the following rules. A player draws one card from a randomly shuffled reduced deck of UNO cards and is a given a score as follows:

if a card is yellow or red, the score is the number on the card plus 2 if a card is blue, the score is the number on the card plus 1 if a card is green, the score is the number on the card.

The probability distribution for the score from playing this game once has the following values:

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