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Bridget is a bridge player. She has devised a point system for scoring the hand she...

Bridget is a bridge player. She has devised a point system for scoring the hand she has been dealt. She assigns four points for every ace in her hand, three points for every king in her hand, two points for every queen in her hand, and one point for every jack in her hand. If she is dealt a 13-card hand without replacement, from a well-shuffled deck find the expected number of points in her hand.

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Answer #1
x p(x) x*p(x)
4 0.307692 1.230769
3 0.333333 1
2 0.363636 0.727273
1 0.4 0.4
Expected number = Σx*p(x) 3.358042
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