3
lesson pretestMultiple Choice

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Question 3 • Mathematics III

Two black chips and three red chips are put into a bag. Two points are awarded for each black chip drawn, and one point is lost for each red chip drawn. What is the expected value for each round if there are two draws per round and the chips are replaced after each draw?

Answer
A
negative 0 point 0 4
B
0 point 2
C
0 point 4
D
negative 0 point 0 8

Explanation

On each draw, the expected score is (2/5 × 2) + (3/5 × −1) = 0.8 − 0.6 = 0.2 points. With two draws and replacement, the expected scores add: 2 × 0.2 = 0.4 points per round. Therefore, the expected value is 0.4 points, choice C.

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