题目

A bag has 30 different coins, of which 20 are fair. 2 coins are selected with replacement from the bag.


Quantity A

Probability of selecting exactly one fair coin

Quantity B

选项

A.

The quantity in Column A is greater.


B.

The quantity in Column B is greater.


C.

The two quantities are equal.


D.

The relationship cannot be determined from the information given.


解析

恰好选出1枚合格硬币存在两种情况: 情况1: 第一次选到合格硬币,第二次选到不合格硬币 概率 =20/30×10/30=2/9 情况2: 第一次选到不合格硬币,第二次选到合格硬币 概率 = 10/30×20/30=2/9 总概率 = 2/9+2/9=4/9 现在看量B: 20/30×10/29= 此处分母为 29 ×3,远大于量A的分母。 因此,量A > 量B。
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