A drawer contains n different and distinguishable pairs of socks (a total of 2n socks). A person randomly selects 2r of the socks, where 2r < n. In terms of n and r, a) What is the probability of having no matches? b) What is the probability of having exactly 1 match?
A drawer contains n different and distinguishable pairs of socks (a total of 2n socks). A person randomly selects 2r of the socks, where 2r < n. In terms of n and r,
a) What is the
b) What is the probability of having exactly 1 match?
In the realm of probability theory, we are presented with an intriguing scenario: a drawer containing n distinct pairs of socks, totaling 2n socks. An individual draws 2r socks from this assortment, where 2r is less than n. Within this context, we seek to unravel the probabilities associated with two distinct outcomes – the absence of any matching pairs (a) and the occurrence of exactly one matching pair (b). This inquiry delves into the fascinating world of random selections and the likelihood of specific sock pairings in a diverse collection.
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