Imagine you are selected as a contestant on The Price is Right. The host, Bob Barker,...

Imagine you are selected as a contestant on The Price is Right. The host, Bob Barker, shows you three boxes with marbles in them. Box #1 contains 6 red, 2 white and 2 blue marbles. Box #2 contains 2 red, 5 white and 3 blue marbles. Lastly, Box #3 contains 5 red, 2 white and 3 blue marbles. One of Bob's assistants will pick marbles from one of the boxes after they are hidden behind a curtain. If you correctly guess which box the marbles were picked from, you win a brand new car!

c. Suppose one red, one white, and one blue marble are selected, without replacement. Calculate the likelihood of the sample if they are selected from Box 1, 2 and 3.

P(sample | Box 1) = , P(sample | Box 2) = , P(sample | Box 3) = .

Which box should you pick to maximize your chance of winning a car? (select more than one if there are ties)
Box 1
Box 2
Box 3

Expert Solution

milcah answered 1 week ago

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