The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on at least one ticket is__________?
Correct answer: B. 0.5904
- A. 0.4869
- B. 0.5904
- C. 0.6234
- D. 0.5834
Explanation
It is easier to use the complement: the probability that none of the 4 tickets wins is 0.8 x 0.8 x 0.8 x 0.8 = 0.4096. Therefore, the probability of at least one prize is 1 - 0.4096 = 0.5904. Students may choose 0.4869 by using an incorrect power or treating the tickets as dependent.
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