# Maths

A runner has four different pairs of shoes. If two shoes are selected at random, what is the probability that they will be a matching pair?

Thanks for any help

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1. Do you want an explanation? It's 1 out of 7 because you took a shoe already, and need another shoe to make a pair. The odds of that second shoe matching the one you already picked is 1/7.

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2. The number of pairs = C(8,2) = 28
the number of matching pairs = 4

prob of picking a matching pair = 4/28 = 1/7

in the answer given by "." : "The odds of that second shoe matching the one you already picked is 1/7."
They meant to say : The probability of the second shoe matching the one you already picked is 1/7.

If you wanted the odds, then
prob of match = 1/7
prob of no match = 6/7

odds in favour of a match = 1/7 : 6/7
= 1 : 6

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3. 2018 hsc practice question aye

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4. I dont understand what "Reiny" means by c(2,8) what is c and why is it in an (x,y) form????

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