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In: Statistics and Probability

A jar contains 4 Orange, 3 Blue, and 2 Green marbles. (a) Two marbles are selected...

A jar contains 4 Orange, 3 Blue, and 2 Green marbles.

(a) Two marbles are selected one at a time at random without replacement, so order is observed in the sample. Define the events:A=“the first marble is Orange”, B= “the second marble is Orange”. Find(i)P(A), (ii)P(B), (iii)P(A∪B) =P(at least one Orange marble is obtained in the 2 draws).

Show your work.

(b) Suppose instead three marbles are chosen at random from the jar by choosing 3 in one hand; no or-der is observed. What is the probability that the sample of 3 marbles contains 1 marble of each color?

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Expert Solution

orchestra answered 2 years ago
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