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5416
關於[機率]的問題之三
In the New York State lotterySix numbers are drawn from the sequence of numbers 1 through 51What is the probability that the six numbers drawn will have (a)all one digit numbers?(b)Two one-digit and four two-digit numbers?請問此題答案是(a) 9C6 / 51C6(b)9C2 *42C4 / 51C6嗎?
Part a樣本空間: C(51
6)6 個中獎號碼都是一位數的組合: C(9
6)因此
6 個中獎號碼都是一位數的機率 C(9
6)/C(51
6)Part b樣本空間: C(51
6)2 個中獎號碼是一位數的組合: C(9
2)4 個中獎號碼是二位數的組合: C(42
4)因此
2 個一位數配上 4 個兩位數的機率 C(9
2)*C(42
4)/C(51
6)P.S 您的答案不約分
思瑜也就不約分了http://tw.myblog.yahoo.com/jw!JCVbjQyaBRbXTWOakincl1.Wpxbobg--/article?mid=5416
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