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A drawer contains a mixture of red and blue socks, at most 17 in all. It so happens that when two socks are selected randomly without replacement, there is a probability of exactly 1/2 that both are red or both are blue. The largest possible number of red socks in the drawer that is consistent with this data is



Question ID - 153501 | SaraNextGen Top Answer

A drawer contains a mixture of red and blue socks, at most 17 in all. It so happens that when two socks are selected randomly without replacement, there is a probability of exactly 1/2 that both are red or both are blue. The largest possible number of red socks in the drawer that is consistent with this data is

1 Answer
127 votes
Answer Key / Explanation : (7) -

(7)

Let there be  red socks and  blue socks. Let

Then,

Since

As  must be an integer

Solving, we get

127 votes


127