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Statistics

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1.In a jar, suppose there are 3 blue marbles, 2 yellow marbles and one red marble.


c. Suppose that 3 marbles are drawn from the jar without replacement. What is the probability that the 3 marbles are all different colors?
d. Suppose that 4 marbles are drawn from the jar with replacement. What is the probability that exactly 2 of the four drawn are red?
e. Suppose that 3 marbles are drawn from the jar with replacement. How many yellow marbles would you expect to draw?

  • Statistics - ,

    c) could be RBY RYB YBR YRB BRY OR BYR

    prob of each one is (1/6)(3/5)(2/4) = 6/120 = 1/20
    the others come out to the same result

    so prob (all different) = 6/20 = 3/10

    d) prob = C(4,2) (1/6)^2 (5/6)^2
    = 6(1/36)(25/36) = 25/216

  • Statistics - ,

    c. YOu can do it the following ways:
    way Probability
    B,Y,R Pr=3/6*2/5*1/4
    R,B,Y =1/6*3/5*2/4
    B,R,Y =3/6*1/5*2/4
    R,Y,B
    Y,R,B
    Y,B,R

    so the probability each time appears to be 3*2*1/6*5*4 so, with six ways, pr must be 6*3*2*1/(6*5*4) and you can reduce that.

  • Statistics - ,

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