A bag contains $n$ white and $n$ red balls. Pairs of balls are drawn without replacement until the bag is empty. Show that the probability that each pair consists of one white and one red ball is $\frac{2 ^{n}}{^{(2 n)} C _{n}}$

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A bag contains

n

white and

n

red balls. Pairs of balls are drawn without replacement until the bag is empty. Show that the probability that each pair consists of one white and one red ball is

\frac{2 ^{n}}{^{(2 n)} C _{n}}

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Question Text

A bag contains

n

white and

n

red balls. Pairs of balls are drawn without replacement until the bag is empty. Show that the probability that each pair consists of one white and one red ball is

\frac{2 ^{n}}{^{(2 n)} C _{n}}

A bag contains $n$ white and $n$ red balls. Pairs of balls are drawn without replacement until the bag is empty. Show that the probability that each pair consists of one white and one red ball is $\frac{2 ^{n}}{^{(2 n)} C _{n}}$

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Practice questions from similar books

A bag contains n white and n red balls. Pairs of balls are drawn without replacement until the bag is empty. Show that the probability that each pair consists of one white and one red ball is (2n)Cn​2n​

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Practice questions from similar books

A bag contains $n$ white and $n$ red balls. Pairs of balls are drawn without replacement until the bag is empty. Show that the probability that each pair consists of one white and one red ball is $\frac{2 ^{n}}{^{(2 n)} C _{n}}$