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Score three draws without replacement

In a game, 3 red balls and 7 white balls are placed in a bag. A player draws 3 balls at random and without replacement. The player scores 2 points for every red ball that is drawn, and 1 point for every white ball that is drawn. The total score X is obtained by adding up the scores of the 3 balls.

Find the probability distribution of X. marks

Find E(X) and show that Var(X)=0.49. marks

[2017/PJC/J2MYE/II/7]

CJC · Review problems · Question 1

Let the red count determine the score: three base points plus one extra per red ball.

Read the worked solution