Question #966

In a game 2 red balls & 8 blue balls are placed in a bottle. The bottle is shaken & Mary draws 3 balls at random & w/o replacement. The number of red balls that she draws is denoted by R. Mary scores 4 points for each red ball that she draws. The balls are now replaced in a bottle and the bottle is shaken again. John draws 3 balls at random & w/o replacement. He scores 1 point for each blue ball that he draws. Mary's score is denoted by M & John's score is denoted by J. Find the expectation & variance of M-J. Expectation of R is 3/5 & variance is 28/75 Ans: 0, 476/75

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