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
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。