<p>A box contains red marbles and blue marbles. (The marbles are identical excep

Question

<p>A box contains red marbles and blue marbles. (The marbles are identical except for<br />the colour.) Two marbles are drawn, one after another without replacement, from<br />the box. For every red marble drawn, you win $1. For every blue marble drawn,<br />you win nothing. You can choose between 2 boxes with which to play the game:<br />Box A contains 3 red marbles and 2 blue ones<br />Box B contains 30 red marbles and 20 blue ones<br />Assuming that you want to win as much money as possible, which box would you<br />choose? Explain why.</p>

Explanation / Answer

1. 3 red and 2 blue P(A)=(3/15+2/14+1/13)*1=0.42 hence gain in this case is $0.42 2.30 red and 20 blue P(A)=(30/50+29/49+...+1/30)*1 =>(0.6+0.59+...+0.03) i.e., gain in second case is greater than the gain in first case and hence the second box with 30 red and 2 blue is to be chosen for more gain.

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